{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 推理示例\n",
    "\n",
    "下面的示例代码展示了如何使用 PDEformer 预测给定 PDE 的解。运行前需要先下载经过预训练的 PDEformer 权重，并将 `configs/inference/model-M.yaml` 中 `model/load_ckpt` 参数的值改为相应的权重文件路径。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mindspore import context\n",
    "from src import load_config, get_model, PDENodesCollector, sample_grf\n",
    "from src.inference import infer_plot_2d, x_fenc, y_fenc, interp_fenc\n",
    "\n",
    "# basic setting\n",
    "context.set_context(mode=context.GRAPH_MODE, device_target=\"CPU\")\n",
    "config = load_config(\"configs/inference/model-M.yaml\")\n",
    "model = get_model(config)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 求解二维非线性守恒律方程\n",
    "\n",
    "- PDE 形式: $u_{t} + (u^2)_x + (-0.3u)_y = 0$\n",
    "\n",
    "- 初始条件： $u(0,x,y) = \\exp(-2(x-\\frac{1}{2})^2-8(y-\\frac{1}{2})^2)$\n",
    "\n",
    "- 边界条件：周期边界条件"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define the PDE to be solved\n",
    "pde = PDENodesCollector()\n",
    "u = pde.new_uf()\n",
    "u_ic = np.exp(-4 * (x_fenc - 0.5)**2 - 8 * (y_fenc - 0.5)**2)\n",
    "pde.set_ic(u, u_ic, x=x_fenc, y=y_fenc)\n",
    "pde.sum_eq0(pde.dt(u), pde.dx(pde.square(u)), pde.dy(-0.3 * u))\n",
    "\n",
    "# inference with resolution 32, and plot the results\n",
    "pde_dag = pde.gen_dag(config)\n",
    "x_plot, y_plot = np.meshgrid(np.linspace(0, 1, 32), np.linspace(0, 1, 32), indexing=\"ij\")\n",
    "u_pred = infer_plot_2d(model, pde_dag, x_plot, y_plot)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 求解有粘性对流扩散方程\n",
    "\n",
    "- PDE 形式: $u_{t} + (\\frac{1}{2}u)_x + f(x,y) - 3\\times 10^{-3}\\Delta u = 0$\n",
    "\n",
    "- 初始条件： $u(0,x,y) = \\sin(2\\pi x)\\cos(4\\pi y)$\n",
    "\n",
    "- 源项： $f(x,y) = \\exp(-32(x-\\frac{1}{2})^2-32(y-\\frac{1}{2})^2)$\n",
    "\n",
    "- 边界条件：周期边界条件"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QWkcRQ/XLFrQF6UFNnmWb4s0EGOWo4i9cK0OlJE9keKBWMudEVpyKNaUID2ApagrZ8CJKlpW01EAy46WTIdzGxvg0KxE2Q9g+5AadIcpy7ASwLTKqaM61oDTeDctO9VJm+Ls8FM/YELPRP2PGAXh0EmZXzNju7ZfVsaEbWehFH52rMtBFn89Cb+TbMqhCw3kWgPrkHLM8h0WwR4rFG86Kl3yYf8KH2SsAPqM+4TPyUz4gqG1P3ZontuHMhLf00kDRQhGDJAsjyKwga/vZD+lGYWS0madVnloHiVNrT51Z1jGg81wbSmVYypqT6L4uRXAkKBEN9ihp0nvexDCbFNApnIw5N1kX8YzNEdZ1yXHe2lESmtCLWDxw7Gae1nC+/DvtP5F5mzhKQ6V4zB8hVPH3wD/y3k/LyR4dN7Ffrp53mXjF0sx+CqyMmZLD7EhfZthSYoqo95dtN88C0C7W+GizAJzkb/gw/4RvzT7h27JPAPiMeMm3+Nc8s+HBfdK2nDaes/gcLBpJWQvKKkYetwLdxHCyHbGXXsbs4ywQpiodVeFZ5uEDRWEp84oyaymiSpRJRyZaFP1civMKF4linArzO20K6JRkRnVpAkCwZ0yG0CkJLaY9274e2rAmW/KaCWVGRdCn2NdjdtsBmUdpqCSE+Czw54Df571/KYT41lsZ7S1g6EbuMCzVOqwRNpQug1yWtvBdIGW9DGEuaVLSFSuy8qIz8D/IP+XD7BXfln3Ct4tAmI/8G57ZimdNeKieVvBkI1luwkNYVoK8EqRAAFV7ZOsRxl0OD06E0RKXCWwRpFBZKprSU8UQncXCUS4cujSoPJBKKRdc1fFyLRnWZ13IzcpLWqsxbYp41tRLHUkTvkcaiSjzPsJZ572UgVgdZ1D7LPoChNKdi/lte3PeJo7VUOmPAT/uvX8J4L3/jUtnuQPs70oeS5bh9q4qJdGNLLN+zmUgXYa5LG1paYroii1qTLkOs/fEORa95ol+BQQD/zPqEz4jXvKRDyT6sN3wtLF8EKsZna0VpytJuQ4PYb6GbOOQ62hI1xYaB43tC11YD0p0dQDIFSqXZDHiQC8V+UKSL+M5m6DSaWuRPjzcKt9ABq2IUQoqCxIlhdfYHFtqbCSMMZrMaJpCDxLTFMLEmgQQJE2SMoBvQummFD4TPJGGaSc02O5e3rX9rtSyfYz+bQ2Vvn1yzHcC3ymE+LIQ4itRhbsEIcSXhBBfFUJ8tfXttkNmzHjQOJbRnwGfBb6H0D/mF4QQv8N7/2p40F32h7nOfum3T+oeb5l36Q3WVLxiIGG0x5QtpuwlTLtYQxHERZ6HScnnUcJ8qF7yGflptFmCjpWky9NVeLOfXkgWF4L8PKpKFy3i3MAqul83Lb5x+MZ2ZZW8dQglg5QBRK4QuUQswtjViUaeaVQd19uQvhy80Gli0mJFhVWvAWilpFI5VZQOjSuwTlMXMX/G5pimxJRFl4SWVRKlJSJVwNE6qGUmuozzcjQvI6KLeeReduN5l4SHEJB5rIZKXwd+0XtvgH8qhPjHBAL90lFGuQX71Bu7DlP7JU1UjtpNyHHJVh+ru6T8e6sdbWa7yOM2D6H5KZCy1CvOsvNuUvIj+YoPuOCZ3XQ2SyLL2ZvwPcs3oM8t6nVU8N80+NcN7iKGrGxa7KbFNQ4fZ9i99QglAmkAmUvUIkNGwshTjahysjqqo61Gtgrh+nAasDjRYvPo4cs0K/mKKj6462xJpReYWAHHmZI2rzBFga5i2oD2OC2RXQWcWBc63cN4T9M99nEi07PqVWFbvLUdc1uTmMdqqPS/ENr2/Y9CiI8IKtqvH3GcN8I+ruTpuhh5yeKPPawfplLBirAppBf32ZJtUYGu0DE+6yS74IPsZRfm8qF4E9zGbcvT+HuerRWnF5I0t5m/apGvDbwM57AvKuzrhjYSpl0ZbONwxmHN2OpXUfJJLYMNcxIzLE81atOimnC8sj72hcm6crNhstNiZCByJdes5RsuYnTAKnvJ2i6pYj2DWle0RdVJGYC21uhadhJYKBmlciRqcjEP7EQff4N9OjqHfQ84Wtl73wKpodL/TWgv/qtCiB8TQnxfPOzvA58KIb4G/BzwZ7z3n97WoGfMuC8cq6GSB34k/t0Lrqtm2R83zdcfh8KMEF3KYlgUXGc4Haq8ALG6SyhSAeBi8leKPE5Rxyns5bm/4IltOG08T6Lb+HQVbBZ9HmwJ+drAJxX2RRBB5kWFed3QnEcJUztM47Ctw7ZjU1BlsQJMJtG5JFsFaZFvWvTA5lHWIwGtBIssXJ+TkjbzVFmQQpVqqMQFqzj2V/KMs+wNKx1ygRq9xOkq1B+ISWettlidoaLKqmKZ23QP/bSVB2M7JqybUZ7MPtLkrqTOo5/pH6cf70EqOflBUy0uCJmGMlSkTDXDWm2xWdsVrCCvyLK6S/5KUccpkPLEhRn8s5p+nmUdDPzOZnlZY19UNN8M52he1tTnhjq6lU3jaBpP03icGxNGRrdynjvyXKDz6JwwQYXzkTA5oJRAKUGexWMywTKXnMXJzTqzrGTDiQpjfybPeS3PumtbZzUmD2qZ3Sz7+6FdV26WVHmmW0/3ctws6irsMv4f7Ez/Y4OYtDwfhcIMvGSBPH2biTT/EgrthYfK6jaUPUoVXZRBZxULNchlEWue+LjuDEsTZ++rfp5FXbTwJujs9kWFeVHRRBumem2o1i2bdXzzV47GeIwFM5EwOkoYXUOuBWVMjXbOM2wCL5QAJVC5RMW5mrzQlKVgsQjXu8wdJ9rwJOblnIo1J3LdXZvOKowK155qpoX74XCDsrforKs0E+5nNmomNTT8h7/RQ5zAfC8JkzDtZnx5vxpLGBmKgjvpu6QqJx02lUEChGrRqqGQ4WE/lSGXZeHCA1VaR9FCWYfZewiTkuLc4F9HwrxuMK8b6qiCVeuW1YVlvQkP/6Z2VAaMDaQZQseay1oJSu1pU5R9lEQiVUzSEpkr5CJDxNSEbKnIqxCGA1CUYbyL6O49kRtO5bq7Nq0ahGpxqulVUjmu0umVCGQZSBih+tpm4/udVLLmQZIF5mjlGTMOwjsnYd52/uVqiRKDLYfRydB3/lISL8Grvmp+V4Uy60sgadl06cWlaDih6pK/CuspTAikTLFhcm1hZbp5lvbC0Axsls3asd54LjZBqq0bT9WCiREyQ0STBa2C9LFdRzKJlA4Zi/8pbVCLDHVhUKcmjkOjT2QX5FksQw5OGvsJVbieeG1aNihlaCdVOYedBrwk2n7D7mnZ4B7rzrV8+fe4vvnsVbiNuZh3jjC3gUvesdG+cS/JoJK5Lguxq3mcHkRlyGWfb1+KmoIWHQ2IMobpq1ag6qgm1Ra/aXGb4NFqV6bzhEGwWTa1Y92E41cGqhY2bd8/ybpoW8dQskWW9kWvmHRkCvI8HNDWjnZl0JsWGb9X1BZVZ6i2TyMoW9+NvaClHFSryRNhpB3XfZZDlWzSUnCnOqbxZsuOB4ZHS5hDgi47yIlkgVitPin+qeuXx6X+LMqGt2tM6xUxn6RIWYw0FN6g45teW8hsCM+XyWBvHL5x2Pjg2sZ1njCAxniqSBII/y8MhBjMQUUwC3mSfPHUiUDaQGF8d868ceTxO9NkpmgcsvXoJtpWVqAt3dgLb8L1xGtTokWIcO1JwjhlQ2cBNaBF8pSl+zm9x1s8ZULlo3D/Oaf/AWA4B9Nh6lKeoOsCNk1EiQ+MFG5UYC8TNhariId5yFoROoKlWfrG4huLiw+uM2GOJT3cxo4N/E0byLKxgsS5FKxsfV/tWIleRQufF905bRvczC7FpMVxCOO6DgBZK0IadCIfIfw/XZtK1Tfl2PMwvDdbu6QN7+vo5dSnLXc1AB4YZqN/xowD8F5LmH2RYq26FnqDNnleXk57nJZvVd531V1S0Qrp6JO/nAfru0BKa8IMfnIFm9aPDHzrgyrWeqgHKlnrIYYf0zhB4X33mTRnk85pW481MXgz6W/Ow+RylOsr0yjvGdaEHV1n/JDvbLvBPVKiM/onLWzfOcyEORJEfFBUp4rFpCzspWMvVS2KZPF2mzl8GXZAnEv7/OXjroIfEHV6wm3VlRS2uzYI1yt2lGF6jJgJcySk3iwpnTfVOR5Wo0xwU0U4huWLaQvxHVASsMFmmUz0MzyF2kPhHqYEMPn+S+MkXM+whrP1Cu/kOy859sVsw8yYcQBmCbMHUt3gpLKMWns7eelV3PqxVLFC9BUpu8au9K8rKTopAyGnRWWiC6TUmUAr33m8gvfLB4/YwI2sBGQppV+OvWRahfOkc6pMhMzI4eSNFDC5HCuH1TTHcmR0nYPSS5fukfX9PXzH8V4Txtsm1McaepaH7RrcZfsj9TASU30lZi46L7FedQ9T6xUWiY3PjxOhZpiXdElW5AqRK2Q+SP7KJHmMGtZ1iA1LcWLDScnRPAz9PEyhwnExBjJ+vp+4VJmM8WQSkatuHF7LzhXcZh4n6MZukbSDa7Ne4bzsrr2/R8M+m5du4fi+Du93Klj+QOPI4BETZtgjsd/WjDL5Ls3wu752Vgdre+s5BTBagYxPkbQxzTc+ZT42MqpT1XxyaqEx0UtklKNVHpODS7kruUTElOK0rnPZPdy5DoGUaR5mOClZRA/Wtpn+Mv4BlDqcJ51T5yEjUy0yRBJDeSjNZOK8bqs8RtGNvRaayufdtVmf4X249pTqHErJCoQdENn5gaeiL1J+6b4PMCTNNgLdV8bloyXMIegKMmzdZ0fbhfWh532nekiU0V3zVWs1jcu7t3DlC2qR9UXBs1CF0ma+qxmWFQoxyL/PTjTZqu1yWcoyRB33cWG9urU7liyQZRkJsigkZSm7c2ZFSF+Wi6wrlOELFVqgZ321zCqjG3tNRjVo0tS4PLQEHHRrlk7GP9Hdr+n9vOo3eOiYjf4ZMw7AOydhUvTpTaOWvW0uJZD1+0x400V1oWs/1xn9LoS02N6oVUYHdaTtm68al3eNiyqfs6KkEmF/rUx4c5eOsuyL7KkTjTztC1bkm7YrcOFcmnCMTgHp0DvzYdJ/QamDZAFYLgSLpaRYxmSxM012Gr8zFspwS4UpQ1lZiPWYlejGvqIM1xOvzSQJ0+pOJVNGI50gzWkKF+4bQ6Pftvh4b7t7vuO3ehvcV9WYR4vwYzWIWAXl8v7Y5ySpEc5FlUz2LR+cRLUaGYtrO5thbE7tAikv3JKVXLCJD12lJHVmqQpPE7Mh84VEnoUySAAq5t+7SJiUKSnjBGGmQiClsWJ3xqVKGZexNOxSUi4zirMwDv00Rz3NEU9zfNzWLmQoJ1tElSwL401jX/kFF7FXJoRKmN5mSJuj2oFKZocqWSRLdw/tFWpZ0/0uDxXvJWGmRa997MMirA6V5ZMR6trwQ8e3ozAtGI00clAaNQtSJj4wWI1py6756sotufDLrpHRE1mx1pZl7ro6x/lSoOqsqxmmGhdn/3syCEmXy5LnYo+cfjHK6S+WiuJMkz8PD7v+oER9UMKTHHsaHoNmCVXp2UTv3FrDSmreiDD21PIvXZtpS7Dh2pMNE+6HRKaaycaF++YGRn9ssgSRHNZ0v8H0N3poeHSEub4D7+4EMiCSZOJa7jw7DpxHWN8RJjMK1WZkdVARbVHS5gWVDW3IV27JK3fWVY1ZyZxzbSgKy2IRHqK8CfkxiXTKepT1pJEKJYKrOVVmqWNo/j5VY6JKlp9p9NMc/UEYp/qghOcF9qmmOQufqZae9cJxHjXWc61YyaBSQmzz55bdtbVtAU1JVpeoNuvvh5G9sZ88ZAMJE27U4KV0Dbytu7/p9rvGbPTPmHEAjtYfJh73h4G/C/zb3vuvHm2Ue2DbvMv248aNe7zte8h7acau5dhuLuncwjkwLTK+RSG8UTOjex3elDhTUJlgF51nT1ipcz5xzwA4kRWlMqE3S5QwWapzHOsTC6uRhDJIACiBzFU3T9OuDPlNKl8+zYNkAXhe4J5qzJliE8tcX5w43iwcF9EV/UblvBSn3dhXbsl5+6S7Nm8KpClRbajin+6HMgKZxhXVMT+cf7FjqdKpZZ0NM/6/D+5K2hylP0w87gz4k8Av3sZAb4JdJOomLuW4H4nQJ2OvjQ02jIiFtEOHohxhXNdAKKsUutDoVKA7L2mKEmPC+kqf8kI97/LgT8WapawpsxYdC5iHlhMM6hxn6FgzDMJEpoz59wD6prWVn+bwJLwcbCTL+glcnIZznC8tr0t4k4XPvJZLPvVPeOVCl+UX7XNW7Wl3bZigjum6r62cVQppBslx1oExYBIJLN72xcj9jtn9q8hyn70vj9UfBuAvAH8R+DNHHeEOOFu9dUEM72q8zUfGfzL8gWD8u3agd1uEafGmb1GnjCBrFbqOnqOipDUlroluZV1zrs66TsWlCC3yCtU3Mgr9WXrPkZeSRaa6AnuqUIgy64tVxLTiQ6r3c6LxZ7o38M8Em1PPxanj9Un47hdLeJVnvFLBRnlBkC6f2jD28/aMypx01yZNSdYEwqTq/UG6eJK/W5jkONnRVXlg8HfkOYLBf1sdyI7SH0YI8buA7/De/70jjm3GjAeHt/aSCSEk8JeBH9rj2C8BXwLQOyYPj4WpOjbuLTLsCR/sGCBUX5S9W9k3m1EHMm8ahNGhh2Nss62MQlcZbRbnN4qCdrOkiYX9Gl1zLp+Sy761dykaMulQMf1S5RuChImFJESoc2yjxysvNNlSIddxnLVF7NGBjFziY1VLt1RhniUIB6ql5+LEcb60vIjbXueKV6rkm+IpAN9wH/Kpfc5L8wyA8+YpTbOEOnwg2yw7dUxX6X4IREjvDCc1JvSGSROVTRXu69StbC8X70u/2UPxkMFx+sOcAd8F/LwI4d/fBnwshPi+qeF/2w2VtgdcXm7OM2qrICfbVa+SITOEa/GxP6PQBRgTSRMf9lqSaUkem6CauqDVy750amZolOGNegZAEUswZaLtU3wzsKLCxUxGoyxt5ll2sWSCvJLok6ii1dnBPS5NSexxGW77ehEM/NdlUMMAXqmST8QTvuGDCvYN+xEv2ue8iYRpzBJfnaLqYPTrKhAmrzVZalhb+37uBYL9Ym13D5M61qtf24iyvfLlLpI8tNrKV/aH8d6/Bj5K60KInwf+9F17yW6KZMfAQPIkwig99uqYGq9UIEyVHAWSrFbYGJNS6CJW8w9vYZ8ZWmVYxzj3F7EMk6Lt7n4rFFa97hoZGdlSZa4rCr5YbOuiLBBOHtxFOU1KnhdwkQveZL3N8k3xlG/45/x/bfg5P22f8aL5kHX9JIyzOkXWJ+hYeFzXBcW6IKsUWSwvK4wN98ZEQpgmNIQddFEOc13j2XxvzYOdrBziWsJ471shROoPo4C/mfrDAF/13n9824PchesM/6vUsoRhuH9yMXs5MEitAZPaF2djKQNQtSgp0F0Lv4xCL/piEJnBCIuJs/QraZFRsth4+1uV0UpJHdW6Sq6pVEOdheOWuaMoQyVKCAX2MhuauiZIN078ajNPqzy17iOP6yzM3kOYlHyjcl7LJS8I7Su+4T7kG/YjPm2fAfBp8xGr5gkmShSxOSPbLCkiYYr1Al1l6FqiqhgNUbUxIiLdwyBdfLyHSbqMjP6JRAnr9UglG+IqiXJbxn7CUfrDTLZ/z9sPa8aMh4lHHxoz3L5rTqafjzGdHQMxtsxs+kQz247VMkDUEpTsGgjlUuFVPig3FP43UcKkd6OLiWYQsjIrlXeNi9byTWxkFN66J9qEqv/RhVy2Hm1DdrKaqGQxJjS23wv5N0CIOlaSlYyBlDJMSn7qn3QTk5/a57xon/Oi+TAc0zyh3jyBTZiH0eszitUZxTqocOU6J18rVOVDK3RA1E1v6EOvjiWj32wmruRm51zM+He6LFXmypd3hKnHbKg7T2f+sQbXhElH2XUky/BVnJVXKsz+13EiUym8ynDRHnLKhfKpkTgtgTTOqa7CTO1Cp+LUfPVCLlnJV10joydyzUKZrii49g7tQjXNVDMsoc+/D5mSXeKa0GxEH0i5ouQT94xX7qybZ3lpnvHGPOtsFlOfwOaMbB3WdbWk2CwoNuHa8nVGVgtkPfSKtfiq6icqozqW7mGfQtGTxNtm8htc9oo9FLzzhLkuP2ZbMOZVHjM/CNFA6dA4NXX8jW5mZIZI5U4rFfqfyJSrIvBSksvtBc6lkxinME6ximnNxuY0rmCd9c1XX8mzrpFsaGS06bqYFbQU3qBwuwmDpBaaOv7EK8ouPB/6QMoX7XPO2yBBzpunNGZJWwWbRmzO0OszdBU+s7g4ZXFRkq/SrL5AVS7YLdEJQiSLb6L9MXEjJ+kyDeW/yq28a32K27Zf4BEQZhd2uZi3b0sz/cnIjA97E7y2nS0tM4SpYu/L1LNRIWrV1/YCMvTgU2PiSNsXx2jj99hSY52m0kHVWdslZ9kbXsvwIJ/INadyTSnCA1WKmpLYISCFm2FHNdBar6h8TpVqC/i8C8+HPi5s1Z52sWFNE9zGMhr52WYZVLBNGFciS76O0nTtEGsT1LA63rvkFUuOElOFl1CUMM6s8M1qFC/W3/f93cYPtovyjBkzejwaCXOIi3lsw1zupZjmZYCxm9lsgsQZdAIWEPrMD2sHKzm4sZKhlAnZiJK61ZiU1txq6qLA5FEa6BNW+rRrvrpQoU1eCuDMhKUY9GkJ29pRRcrWK+pBwYpVzJRMyV+VXVCZE4wputgw6iVqMM9SbJYU64HNEqVLFnttitoG6VLV+CqMlWo9ciO7Zo03my1u5D5u7LJb+fCZ/btQx+AREWYb9lHLtiWYXSrxM/CaoXTQyUefGTgBSFpSIG+MFUa68NBJKxEu/KWUAGM0rc1xJnym1hWNXrLOYi/JrEKrBh29ZrlswuTnoPVEwrBmmPUZTfxe43KMzUOWJCH5y5sCTImM35ttlt3sPYR5luAJi8lhlQhqWPKIratIlomRX1309yhOUk69YlfNu+z6ba7bfhd41ISZYhtZttUuG69riJtG9kyC7CUNRGkzWMfmZOiuuJ2wGcIKMqOolymHRGOakjYPb8m2qHC6wsR1owxCtSjVtwUUqTdLhBK287pBKCjovQpFKgjFObzNoLPPAlGyOkQcQ5i5T7P3ALrKyNf9LL6qBjYL9GSpN/gqdEBORr43m7i+7uyWdH/Hdsv1ITAPyWM22zAzZhyARyVhttkx24Mv+23Xvb222jPNupcsphr1bOxsmsE6gHLxeCuRLhSKyGJOTVNoTFlgYhKaaUpsZmiLGE4S25q3sfFsm1oEDjp/Cem6DgLhZsRqnCkpLVa2SXUDQh6+7qQKgK50DKSM5Z9qiap8mGchhr1EmwUYSRffbPeKXc6mNJ3dEtZ7dWz4WxziGbsr+wUeGWH2wdT43xXdDDvsGQBOIKocSU27RBrXpzWHUkOxIkxMPguVZ1JtMxmS0GLWoiljAGc0vq022Emn4rQ8jL4UMAooE4OKlMIp1LC6S5uRGY2udJf8pauMrJJjFWwwKSmq4D7uDHzT9GTZYeR7s9o6m9//302Mh6SKJTw6wuyayLwq53/qNeu3j/Vr14DcUnRmaNsk4qQigB4Q1vbV63UGNke5rEtzVkaRVRIbAyXbWtNqS6sTQdq+WzOxU7EK+6a9NoeFwKVVXUnbUGBPokxf3SUziqxSA+KKGJ4/kShpFr+qwjxLFaWHqTuydDP5ZoNv1njT2yxuOO8ykC79fb5+Zn/b/ruULAmPjjAJu9SzoRqWlneVZNp63itIAyCsGZUOEoC3fakmUZZB4pgMUca0AiNRWuJixLOuJVZnWB1b+GkXQmy6VhkudCq+ovOXcBJphzWgBdIO66nJmE5MSCkmhOYL4/rUhRh17KukboVJyZTbkrxh3pqRkZ+kSrhfq0tGflLDwvr2qOTr1LP7IAvMRv+MGQfh0UqYfbBN4qTtV2GrlEkTc/lysj1Wnok2jXcWoXOE1r2qozOEzpAxCc3rEP3sY/iN0wonPclrHJZ9tzzEuJGRGJRsjVImVaS0HmlckCipQLOZ5LKkqOM0x9KEkJcutyW6j32zvmSzuKEbeYeRP8R1EuWh4FET5iq1bNv6IcRJlU174sT6zEPvECBTaLvrC5x7a8E0CB1VMq1Ba7yOnjQlUTrr8vO9lnglukZHPsat+Sv0g67xU0wJCEXUXV/+yPlAWDtJJx6G5ls7VsEm9gqu7chync0yNPKn5Dg0Uey+1DF45ITZhV05M9v2HyptvAtF+FJ0gGNi18ScGqELuuJ2kTxCpdL7OkQ/p4BOnYXQm2GX10SmSSPXUT+WYd3lWBS8I0cqEh5z7iEGTkaShPWQyzKSKAN7BWtwZjVyG+9jswz/78JDlTKPnjD7tMe4ygmwL2mESl3N8kiSQX2AfDmWOCrriAOhuIY3DaSUgUSeSKBAFtWlEAA9eeRYzIx6SQ77jqcK+oOi4EnSDesd+0H+vTcV2HarRAFCmH5z2W18nQq2bXkvh8s9SpaE2eifMeMAPHoJk3CIPfM2bmcgxJ6p9BaeqGiuRehFeIvHiGffVIi8HEQP1HiV9RJHqX4ZxtLnqnHYSS+WUa8b29eN7uqwVaPuBUn9GkYaJxUs7G866XKIzTL8P13eth6Ge//SBd4jwsDNnADbCLQNXc8ZWyCU2a2ixbpnQumeIEqHBzWuM0gfAELimlI9wbrt4+7Fk4sdr0/I0W8b9GqJNsrlInuXVbC0/3J68fU2yyHzLeFSHgZZ4D0jzC7s8o7ta9MMOwJsxUTiCJsHiZOKa8Tidl2xje5//HlkFiIGhiRSe/x0gyr5qUXetFP0qORRqnk8KBTuXbNVonTre+Sz7GOzPFQjf4rZhpkx4wC8dxLmqszMQ2yaa92iV6hoKIN3GtIkoswRSuNTolqSMEOVDXrJk3CVlNnWg2Xwf6p2peVR67xJkb19VLCw7e1tFnhYqljCURoqCSF+BPijhCpC3wT+U+/9Pz/yWI+Gq1zN+0xsTjEl0DYVretBE8kz2h8J1JV3YkASuEwk6O2dq+CGKllvuE+3dSTZmgk52TZxGYf/u0skXUeOd4kscLyGSr8MfN57vxZC/DDw3wD/0W0M+JjYJW2usmnS+iGesymBwnpvs6T9nlX8njxIoIghkcL+7SWctn/3pIbxFgkyHNfwM0PP13j/mCg3sVGujKJ4oGSBIzVU8t7/3OD4rwA/eMxB3iYOVdGArWraLlw+R9MVDxS2376NQN1nWI3XEweuIs6W1t27unztIsj0M7tUr0Pjwt41qTLEURoqTfBF4GffZlAzZjxUHNXoF0L8IPB54Lt37L+zhkqH4BCbZrptl7o2lUDj9WaUzblL4gyRnAbjbbtd2duLS0xbTFwvUYbX2G+/uZv4XZYucJyGSgAIIb4X+FHgu733W+/KbTdUeltcZ9PA1XZNWr/pnMKUQN13ysu10wLhLqtd28432uamD/Z2NS0s38weOXSO5V0hCxyhoRKAEOJ3An8N+IL3/jeOPso7xE17zuxDpOH61ee87CQI5xhsO7D50HaJc1gt40Ntlau2J7xLZIHjNVT6b4FT4O/Etn3/wnv/fbc47lvF8Ec8VOKkbVet74PtquCgcPpVkQVbjt92/uu2HeuYKd41kgxxlIZK3vvvPfK4Zsx4kHjvZvoPxaEqWtqWsE26vI2ds+07jvX5t9m277jeZekCM2H2wr49aOByFufUhpken/bddfDhTWyOm9op8O4TJWEmzAE4NHtz2/aE6wi0bftt4G2kxftElIQ5WnnGjAMwS5gb4DovGlytpk33T4/Z5829q4DHVd9xjOPfR6kyxEyYt8R1TgG4mhy7jtl13FXHH4J9P3/o9zxmssBMmKNgH4kzxD4E2nbcXeAm3/nYSTLETJgjY/rw3IRAsJ/K9ba4KSHfJ4JMMRv9M2YcgFnC3DL2cUVvw32oY9fhfZYsCTNh7gg3UdXuGzNBLmMmzD1h28N4XySaibE/ZhtmxowDMEuYB4Tr3vRvI4FmKXIczIR5hzA/9PePWSWbMeMAzISZMeMAzISZMeMAzISZMeMAzISZMeMAzISZMeMAzISZMeMAzISZMeMAzISZMeMA7EUYIcQXhBD/jxDi14QQf3bL/kII8bfj/l8UQvzmo490xowHgGsJM2io9O8DnwN+QAjxuclhXwReeu//DeCvAH/x2AOdMeMhYB8J0zVU8t43QGqoNMQfAn4qLv9d4A+IWGR5xozHhGM1VOqO8d63wGvgw+mJhBBfEkJ8VQjx1da3090zZjx43Gm08rA/jBDim7/y4ssr4JO7HMMWfPQAxgAPYxwPYQxw/+P413ftOFZDpXTM14UQGfAU+PSqk3rvv0UI8VXv/ef3GMOt4SGM4aGM4yGM4SGNYxv2Ucm6hkpCiJzQUOnjyTEfA/9JXP4PgP/de//gOozNmPG2OFZDpb8B/C0hxK8BLwikmjHj0eFYDZUq4D+8wff/xA0+c2w8hDHAwxjHQxgDPJxxXIKYNacZM/bHHBozY8YBuHXCPJSwmj3G8SNCiK8JIf5PIcT/JoTY6Vq8rTEMjvvDQggvhLgVT9E+4xBC/JF4P35VCPE/3fUYhBC/SQjxc0KIX46/yR889hhuBO/9rf0RnAT/BPitQA78I+Bzk2P+OPDfx+XvB/72PY3j9wPLuPzDxx7HPmOIx50BvwB8Bfj8Pd2LzwK/DDyP6996D2P4CeCH4/LngH92m8/qvn+3LWEeSljNtePw3v+c934dV79CmG+60zFE/AVCLN5t1VTaZxx/DPhx7/1LAO/9b9zDGDzwJC4/Bf7VkcdwI9w2YY4WVnMH4xjii8DP3vUYhBC/C/gO7/3fO/J3HzQO4DuB7xRCfFkI8RUhxBfuYQx/HvhBIcTXCR7aP3HkMdwIcyG/CYQQPwh8HvjuO/5eCfxl4Ifu8nt3ICOoZd9DkLS/IIT4Hd77V3c4hh8AftJ7/5eEEL+XMM/3Xd57d4djuITbljCHhNWwb1jNLY0DIcT3Aj8KfJ/3/tj9Jq4bwxnwXcDPCyH+GfDvAB/fguG/z734OvCx99547/8p8I8JBLrLMXwR+GkA7/0/BEpCjNn94jYNJMKb6teB30Jv3P32yTH/GWOj/6fvaRy/k2CIfva+7sXk+J/ndoz+fe7FF4CfissfEdSnD+94DD8L/FBc/m0EG0bc5vO619hv/QvgDxLeUP8E+NG47ccIb3EIb46/A/wa8H8Av/WexvG/At8AfiX+fXzXY5gceyuE2fNeCIJ6+DXg/wK+/x7G8Dngy5FMvwL8e7f9rO7zN8/0z5hxAOaZ/hkzDsBMmBkzDsBMmBkzDsBMmBkzDsBMmBkzDsBMmBkzDsBMmBkzDsBMmBkzDsD/D7PEwAFAf+9/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "u_ic = np.sin(2 * np.pi * x_fenc) * np.cos(4 * np.pi * y_fenc)\n",
    "f_arr = np.exp(-32 * (x_fenc - 0.5)**2 - 32* (y_fenc - 0.5)**2)\n",
    "# plot source term\n",
    "plt.figure(figsize=(3, 3))\n",
    "plt.pcolormesh(x_fenc, y_fenc, f_arr, cmap=\"turbo\")\n",
    "\n",
    "# define PDE\n",
    "pde = PDENodesCollector()\n",
    "u = pde.new_uf()\n",
    "pde.set_ic(u, u_ic, x=x_fenc, y=y_fenc)\n",
    "f = pde.new_coef_field(f_arr, x=x_fenc, y=y_fenc)\n",
    "pde.sum_eq0(u.dt, (0.5 * u).dx, f, -(3e-3 * (u.dx.dx + u.dy.dy)))\n",
    "\n",
    "# inference and plot\n",
    "pde_dag = pde.gen_dag(config)\n",
    "pde_dag.plot(hide='aux')  # plot the computational graph\n",
    "u_pred = infer_plot_2d(model, pde_dag, x_plot, y_plot)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "方程通过迭代外推获得 $t>1$ 的解："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# re-define PDE during rollout predictions\n",
    "pde = PDENodesCollector()\n",
    "u = pde.new_uf()\n",
    "u_ic = interp_fenc(u_pred[-1])\n",
    "pde.set_ic(u, u_ic, x=x_fenc, y=y_fenc)\n",
    "f = pde.new_coef_field(f_arr, x=x_fenc, y=y_fenc)\n",
    "pde.sum_eq0(u.dt, (0.5 * u).dx, f, -(3e-3 * (u.dx.dx + u.dy.dy)))\n",
    "\n",
    "# inference and plot\n",
    "pde_dag = pde.gen_dag(config)\n",
    "u_pred = infer_plot_2d(model, pde_dag, x_plot, y_plot, snap_t=np.linspace(0, 1, 4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 带阻尼波方程\n",
    "\n",
    "- PDE 形式: $u_{tt} + 0.3u_t -\\Delta u= 0$\n",
    "\n",
    "- 初始条件： $u(0,x,y) = g(x,y)$ 为高斯随机场（GRF），$u_t(0,x,y)=0$\n",
    "\n",
    "- 边界条件：周期边界条件"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define PDE\n",
    "u_ic = sample_grf()\n",
    "pde = PDENodesCollector()\n",
    "u = pde.new_uf()\n",
    "pde.set_ic(u, u_ic, x=x_fenc, y=y_fenc)\n",
    "pde.set_ic(u.dt, 0, x=x_fenc, y=y_fenc)\n",
    "pde.sum_eq0(u.dt.dt, 0.3 * u.dt, -(u.dx.dx + u.dy.dy))\n",
    "\n",
    "# inference and plot\n",
    "pde_dag = pde.gen_dag(config)\n",
    "u_pred = infer_plot_2d(model, pde_dag, x_plot, y_plot)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 二维有粘性 Burgers 方程的守恒形式变种\n",
    "\n",
    "- PDE 形式: $u_t+(u^2)_x+(uv)_y-10^{-3}\\Delta u=0$，$v_t+(uv)_x+(v^2)_y-10^{-3}\\Delta v=0$\n",
    "\n",
    "- 初始条件： $u(0,x,y),v(0,x,y)$ 均为高斯随机场（GRF）\n",
    "\n",
    "- 边界条件：周期边界条件"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RiCQEuO+Ijh55LjuGJYlkenOXbK8SwaFD+jvXMXIvz4meWkbIoznvOv0fWVxG51BHwcT0cST9ebJBu+cjbS1PpZRk7atnVLfnyI06qkpH5GhJqGkZSMvGKgIuJkGiloT82ZWTgaIRYO1M+w1WDMMwDMNYXggt96xUq37fDGArgMcB/Gq1oGa0XwDg3urXJ5n5ioX2vXqGVYZhGIZhtATyCF7Km/NpkncB+Doz7wDw9er3eswy8wXVz4IDFcAGK4ZhGIZx6kEViSz6aZIrAdxUbd8E4Beb3eFx2k4GogQhMZRFRhWVy6rCcR2qeGHHjLMp8k7YYn0NXNUNQ68kTkWXKkCmww8TnZHssjHapp4eklASZEaFU2dUJtS8yuyZZFezDJRgW0CybnuGRAMPlKAepGT+Sslz43pDNbFGn28qL7dBsi+NVtPR4eHJrz3NWfZArrvWzrEUDewKpN1bEoN2peWEu1Xm4nJkjkLOmVyg56/ocGOddVY9nEU1hyJGj46iHyCdmVS7V7UurAvw6flXNGfuzcI6dlzmVB1K2zdYnSv001L9zkuAPUKY80EqjYAzOUuHs863Ix1ureYnUQOZbfX10tdaZ88FokmvlH2c+Vz1z1KHdXYMuM9Fx2ly/yZO6621wyH1XKpK4WrKVOxcFIrM56C4+RzLkfCUyJn3AUTmnei5F2p5XObY+aqWa7TtkiqMO6nCu/0ePd9HnWPMXJSWhnnHhCcDEXvpqqJ6uZ6/ouap6CKeXjQHxwmCiOI8KYNEdKf6fkO16GUjrK3WqAKAgwDWxvTLVI9RBnA9M//HQjtuu8GKYRiGYRjLDCHOkzJSrzRHbTOirwFYV2fVe/QXZmYiihupbmHmfUS0HcA3iOheZt4z3+naYMUwDMMwTjWI5kRONQIzvzR+l3SIiNYz8wEiWg/gcMw+9lX/fZSIvgXgQgCrbLCS8oEtXUgr11inSk2rixoWS+6gLVRxcNFkkMdRUYPo6xBD5ZQMlFLu2zkjzxgXo6ox6GRbTSu3dE6dr1OIMFKfIVT+/Rm1Kq8lIRaX6TSJnjXtT8sxaMrZb0CztbYueJhSLsxsf3xRxaWy//QBfACvc5blCqLhDfgyWXydP1Jrb0hIe016QrVF6urLu3JJnyoi2e1p2ykJIdCygbJ1Scew6syc7s3k7NWRKWS/oboHKE7K8OOlHjeDc5zfX/alpZ/BrRI+m3jbWZXGbd+LPdai8YFyhw9fhZN7BRWqrRWneTK/avS1ayTwWbuvfaeAnvu8+jHShLZiMif2zawV+SF93kCtnT9LwpAB4Oig7GuqQ3572QnblpdCQqWvdtrl+m3AzdSs3y/zZCRYMuTTXMlb0YgkpNv6Pk/2y/vJ39Tp7DfYJPdqoUdsOi4Jf1FSGZHLifrtcJ7bTCuUcdc7Lit2QrX1/Q64RVSd+1+lTCf1fiL1f5oTaj3VOol2UXhu+HaL2AXgagDXV/+9JdqBiPoAzDBzgYgGATwXwJ8vtGObYGsYhmEYpxhEBEr5cz5Ncj2AS4noEQAvrX4HEe0kok9W+5wN4E4i+imAb6IyZ+WBhXbcfp4VwzAMwzCWF5qbQK9ZmPkogJfUWX4ngLdU298D8LRon4VoaLBCRJcB+DAqvtNPMvP1kfUfAvDi6tccgDXM3Ftdt6jkL2GKMDucQq7UU1uWUzOqe5VbLShHHcbiZpvK13cmZ5W7vEvJQFkVAZRUM869bGSkGZNER8/QTyj3YEbJATlVsKqk3MVFz5UDSlRfHtDSzxgrt7T6qXmSPoEXOffqz7r3K6O4+XcfQRgwXvamIbzzf8lcqdyQBwCbiOju44vQhD0BYHxmDR575OXOsiAtchWyk7VmJieS0FD2YK29Nf1krX1W5vFae3vqkLPfDWmRl9amxL3ap/5i0PJQVskB+mGoH1NU/a5TxPpa7hHD0+zC8oeTCTQZiWLRLmp1z+oIoJTK7HnfGYP43X87iCBknPfz/Xj5u7YCAP6tcPy98b2W2TRIABODjIzSKFMzcvUSsyrqTEXsUbTYonK9u9Ec9QvPIVtfZtB9khKkM6efr2SOpMoum3+avGseOUPumcd6ZdvRhCuRTHoibRRiXqMJVZxSR7x1hEXVluN1qei3H311HH/3f59EGABX/PogfuutG2rr0iUCWvyMHo/C1HCxgYg0FakTbhWJ58jpYpO9a+Q3jmbd52JM1aYZ8+WaTpCcyyiLUacgy/Msxy5zvEcgQ0XVFjv0KJm8H6odyLuptyzb9ufdZ7RvWs49l1fRpHl1nxXlfaylvPoRXY/E/IJloupZWS0sOFghIh/AxwBcCmAvgDuIaJd22zDzO1X/t6MyWeY4s8x8QcvO2GiKMGB8+u2P4Lr/PAMDG1N453PvxxUv6sFpZzovqqeOzwY3e7Y/ATPe9vkD+Opbt2BjbxKn/eNTOP+KQaw/x5kfYDZdJQQB4yO/9yQ++u9nYM2GJN70cw/i0pf22TNqtBaPgMzqGaw04gO6GMBuZn6UmYsAPotK4pc4XgvgM604OaP1PPqjCaw5LYt12zNIpjy84FcG8K2vjM23idmzzbl7IsTpgylsH0whlSBc9Jq1+OktR+bbxGzaxjx05zQ2bE9jeGsayZSHS3+pH9/8ypyM5Rqzp7F4CJWAluinTWlEBhoG8JT6vhfAJfU6EtEWANsAfEMtXlTyl1KScWC4jA2huASzRXHTdqoZ1WEkAZR2kedmVNEonQBNudSzKgIo26Xc2CpkyOuMFPZTs7hZF/rSyoBy4ad0MT7Vv6SSwuUjhd9m1DpfuZLLSrKYYuUODcUdOuWp5Z577mXPx54Ds8hs7saRZKVfenMnHv/+KA51Vs4zrVzRrbAnAGQmMzj7m2c7y4K0XJdCl7ibp3sk0ufowGit/dTg/lr7jr69tfYZ3T9z9ntR5v5a+9yU3LabsrLfDSpiqE9Vscslpa2lXG9OBJi4hkknjNNRRrpdXFgSiuIkPVPtTLec49EbK9f0sf8cxXdvPwsbLv9DAEDpn3+Awn0/xd13vR9Ui455d2W/LbDpsYyH/zg7i80Fke+GJVgLA2Nyn3aNybOUnoxEVXUquVVF+Xm6mKYu+KZlJB1lpOSd0pCbvO3wFtnmp5vEVnenh2vtPYG0x0ORHPKhirgrqPAUADOBfA944ddoylMykC/aWI8v13AgUxmQPHpkD6a2AP/Vux0AsH+Hh6M/PIivrxkEAPSHIlm06hnlXAKlnQPOskKXXOORIbHD7jVyHR/K9tfaB1jaIxVFCgCwryR5wQ4W3fQcY9OyzWxe3vNcVF6kstiByvUjllhL6YlIdE1Snn0vIXZIJqWdSYr0050cq7X7VLsnp25yAINdsq6XxI49JPvKQY6hpUCdCNTnxgp/thwi90XX5rR6gu1VAL7A7KRkXTD5CxFdA+AaANgw3Pqqv8aSWZI9Ademmb7NJ+ZsjUZo+hnt39z6LMfGkmnJM7p5jb13TznI/YO73WnkTPcB2KS+b6wuq8dViLgjdfIXAN+Cq60e73MDM+9k5p39/RagtJx0D2cw/pTkWxndV8Dghtj8CkuyZ3V9zabJjqEWnLkRx5p1KQQHJPdS+dBB+ENxWa6bf0Y7h+w/tuWkY7gDU0/JX+cTe2fRM5yJ696SZ3Swt/X5lYw2pzpYiX7alUZGBncA2EFE21AZpFwFRDJ8ASCiswD0Afi+Wrbo5C/FBPBUf+gkKltbEJdgqthba0cm/iOREfdox7i4AoOyklVULZmkigBK98oLODUkLwav3/0rMuxRLmcVTVRS7+8gUd+t5yQhUn8HzecG1JEGUyyu5/FAfv10KMv9UHac9yJ/ASeA5M4eHH7kx3jwiQS6h7P4n5uP4nc/fRqOpCp9k1UZplX2BABMTgD/8z/uqeR6a+1kh0RmdHXJ71rbIy7j4qCMl0eHz6m179/oyksPrT+31j6356e19nM6pX1uWiSlzTmRdNapTIJdKWlnIw+wP29Nn+pyFcFGTsRQTLK4eZKnda+V+/HN//TbtfbBm68FAHBQhn//2Tj9kxuQ7hnGD//9rTj/qk+j82vbanVonkDrbHpocjv+6lufQb5DnrdCr8yRSfceqLU3bXys1t6WfsLZzzrvaK3doRIWasZZJgnvLcsA7EBJ7o0jhTW1dr4kScYAIAjkeaVjKkrJqx/povvrNkcSA0Kt0zIFwpiXvc7kpo+t237lncXrAoz87Gp84vuXwV83gCOf/l0M/d3v4r7DFQ9lys8D+G5Ln9GHO/rw/Gf+mvsTY+StQCVSnJkR+0wrGSdU8k5iqrfWTs+4SeEyM/Lu6irIdfSC+s9DqCRzVte0nBT5upQuONsESfV/QaJ+e1IlmhxXstFTKmoxqSMY4UpHuaQ8C10JkYTSSv5Lk3tec/nvBda3FiYCJ+PfO+3GgoMVZi4T0dsA3IZK6PKNzHw/EV0L4E5m3lXtehWAzzI7//OeDeATRBSi4sVpKPmLsXx4CQ8v/MizcePLv4cwYOz8jc3YeG4HvvD+J7BtZyc2XFp72Zs9VwnkJ3Dmq/4GP/77V4A5wPBFb0Tn2nOx+/YPoGvTTqw595XHu5pNVwGU8NF97dtx9NfeC4Qhcq95GVJnbcbYn/0rUk8/HamfP/94V7OnsXQI4ET7elKiNKS5MPOtAG6NLHtf5PsH6my3pOQvxvKy9fJNeO7Pq7w9wShe/cdbKu185a8Ks+fqYujsyzF09uUApPLw6Zd+wKnwazZdPaRffAnWXnqBWlJA7x8ed2jbM2q0AALCVTTrou1OtUyEI+kkunrFRZdRCXf6i+LmjaqsnSoqIDsu7v0gpgS3rs+gE0b568Q1yZFEScVe2WZG6VBx9StCr35bBYsgINcVVyRxs05DJAAdATQeiHQyWY4KYhUKifi5BRlV9CLnq1nx6daXKw9mRzD9wH84y1KDIt8kemUCrj+wsdamkkQnpErye9coV3LPYVcGOrZeIjt+sln2u2f96bX2xd131NrP7pfooTOyY7X2JiXxDUQKTXVkRV5LqjwFOjmZ7ySOi3Fpq0gXLyI1rXuOyBzDr/rHWvv86y+qtTv3iqwSjoq0FRZFUqGMW9OmFaRHA2z57BSgJEck5Xwps02W52RQfKjTfZb2qQi8Uk6ejXyX3JuFrLSLGblPtau/nFJt5c4HIlEiSjZwRCAl3XhKz02pyBM/EoXil1TEYJz000JomY+RL+Xw1JHz3IU6xFFJXZ6KjErOyvu4a1qey8yULM/MyLaJfKR2U6mB5IlqE+cdqhIpBilVMy7tvvfi5CItD4X63mhANgKAaXWvTSqJ6JAv/UhtQ94K1QCKgQkITyYZyDAMwzCMkwzzrBiGYRiG0c4wVUpnrBba7lRDIsx4KUymxWU2oZKGZQZUEi+4M/8dKWdC1faejalxod3zyp3PfeLmL/W6lyivJrPP5sR1WEzWj+jRbsuC6lNQu52JTHKaJjm+jobQEUA6KVU+cN3rx9GJqAAgUObOQ9UQUhHswZxKOM3DQRHB7IizLJxVGTl7Y/KwJJXrXSVsc12X7nXvULXl/T1n1trjExKd8LVhiSr5Wd+OWvtZHT+utXdmpE7Hjk43UmW4U+6VPiURZdNyHf1U/bZT00bVnSpcJbVfAOCMsc/X2k//eyVLHnm01i4flkibYExqJ4VFlTTMb32YMQdlhGOHwfnJuuu19OR1i5RH+T6nXyJUScA89eymlZyWUDJbUtVxKtUPtU0U3Qg4LQHESSl6X7qPXu4FjckwoUro2Ah6v9Hz0xExibJfd5tWQWESqaPuPegp6StZEDk6PSvvm6Sqg5NWck+yoGyopJ5o2bP6NXJcBSpQz7in3k8cqnag7eZKTVrB05JdqOU/1d8ryD3kx9xnABAqOTpIqEioRH15iX358XHy5InGBiuGYRiGYbQtFc/KCmXPXQI2WDEMwzCMUwwmoLyKRgCr6FQNwzAMw2gFTEAxtXIS1GJpu8EKoVLkKRkzzaSYEbdVosvVbpMqY6uXk59GquChbutiaDrNcKAKrBU73DkcjYQoa8p+/TkrM0oKzXuuxjpBMkdhSmWnzbP8vrjskklP5uqkI3NWOjwJrxug8Vq7N5TCat3l1ocu++k+dJ71S+6yAZmn4vXLHBIelLkl5R7RwIsqAreYE024mHbDAUsZ+V5WIYjpWVWIbp+EMT81LVrzQTV35ifdu2vtp3W5xRIvUOt2rJXiZltGxI6DR5TGPyl2C5NyvFufJffie7+9C5rTdynd+4iUdeG8zEfhkgpRTsr8Lc9Xcy2S7ryuVkCZLLwznwaakeNzXsI4yVf3c0auA+fclPGs5qYEMXO+NIlS/Xtez/XgBvV/vY0X1K80Gzohr+59po+j+4XOvATdR4Wph/WPF50foedX6HXJQuvnIVHoIT3thrn76s/uVF6F6xfkXPT8EL+kC3k2dlw9NyUuRFkvd8KVk9o+Qd02AJTSKo1Fsv77Ic5WjeLYVL1C9f9Q+hh6zkqQXJmQZiagXP9WbEtWT/o6wzAMwzBaAhOjnJj7aQYi+hUiup+IQiLaOU+/y4joISLaTUTvamTfNlgxDMMwjFMMBlDyec6nSe4D8EsAvhPXgYh8AB8D8AoA5wB4LRGdE9f/OG0nAyXCEEPFAnryIr/kZmVMlVLLo2FvjktRhZHqIVlcVUndP0jLMaKhXTq60KlNprLQxmWq1eHKeZXhNE+u+7eM+r65jCqE1ZUQ+UGHKHf4IumsSbjhwlt9KTC3LZQqvcN5ceevm2h96LLXMwT/Jb/gLJsZlPZUvxx/ckDOq9AhobGBLiKmM0lGXeqOe3/hAnO6T2lCCuLtLoh88lR2m7PN9zJyXYfTUoD8tM0SPrx9i1zrHIt9dkPCQz+9R4oSnv/fkQJ8+++SU58VW3spkbMSA1tqbcqo7TPSh3LV5V9Hyyh2MvY+r4jslMpYOinynQ5V9VR4aVTqcV36OgNpqe5ynX1Uyy1Bov7yKHESkXb7x7nq52TGVVlKWd+PKjO084KKkxb0/cte7DoqioRGQXw47VJhClGK/Eao7NnFDOriSmCqUKQOyQ7q3w/z0YjEE6j7oexknXWl7EYy0oZJsZtj2wYlIYqR9uJw9ptYocy25E5TaAXM/CAAEM1r54sB7K5WBQcRfRbAlQDmrWHVdoMVwzAMwzCWl4pnpe6qQSK6U32/gZlvaOGhhwE8pb7vBXDJQhvZYMUwDMMwTjGYYgcrI8w833yTrwFYV2fVe5j5lhad3hzabrCSCoDNx4D+MTm1DiVNJKdVNsOi69alQLm0wpjlCo4pMBf1xsahXZqeLlio+mj1Qd8YJRWJFC1kqOkkkXXKvmR9TVOhXnd0etJ/i5J9AFf62TQr0svwmCoUeaz108O99Qdw1u/9prNsLclv6WeRe7IsLlFPXcmSKu44ozL8jkKlFAZwlCXaZiSQjKlHVXukKBrUdFm2L5TF1x0oeSiMuHjH8rL9eEH2uychUUYZX66vlulmVeZhJMXtfnCn67pem3u2dBuVCCAo+ZBVYcBSjzwvsz2yr5me6nn8JVpHxxhw8ZdwaFay05an5Tp4sxJVklCZT73y4uWLOFmmocyggKPVhn6x7nIt3VBSbJVIig07kkqGBJBLik26EnL/5pQMm8DCkXVl9QouhG6UTyGU+7yo2vkgi/1oLeyXkB9095ov6wy+cm6kllNMJFVccceoXOJEZWnZKybCS0s3WppjR9KJyFn6nlASj15OOtOxKjjo6+Vx6XYBeIuMICIVLpWsHu/govbQPPMMVubfjvmlTR56H4BN6vvG6rJ5sQm2hmEYhnGKwQBK3tzPCeAOADuIaBsRpQBcBWDXAtvYYMUwDMMwTjWYKh7+6KcZiOhVRLQXwLMB/BcR3VZdvoGIbgUAZi4DeBuA2wA8COBzzHz/QvtuSAYiossAfBiAD+CTzHx9ZP0bAfwFxJXzUWb+ZHXd1QDeW13+J8x803zHSpYIaw8nkTumkr9NijvVyyt3WyniltNyT4z0o4sXUkYnpVq8JBSXCM6VfqSPHrUWKX7HaYhbeoAkEqRTSQtllUguoVyKHRAX6NpQEr8BwLpCZd0dXx3H+3/vSYQh49WvHcK7Xyceuc5RqhyW6AhaYE8A2FyYxHU/dBOrpY/JOfvjyjU7pdravlqy61ZFGPvc3zjbJ9LXbKdce10Mc0IVoBzJyX5HU+LePuiLnLSfRe4AgL2BJLHT8pIuLhl16R8nq2SCrYP3yYoX3ef0m32xnK9O7tevpMCNiUO19sRtD2DX7zyAMGC8+M1r8fN/WElw1xVWtn11C226iQ7jQ+mPYk+PXKMHIQn19hSlva8wXGtPFqU/AAShXO9ARbiEMRJCHJ5y1Sd8N7JCu9vTCXk2OhJaxpFnTEfQ6eu7gdzIujWhbNNbFvtk1HvHZxUVqKRe/R+CjgqcVoU77/nKKP75nY8hDBjPe/N6POfdZ9fWTaADD7T4GU0lZ7Fp3U8W6gYASKvEk1r26vHUNfFFGuslaWdISXEAfKjoHhUFOaYKuD5Rkntor7qftITrO7JK5BhqnU9LT3rpz5PpLhFzjETMNlrGz1TP95G6PZePEECxycFJFGb+IoAv1lm+H8Dl6vutAG5dzL4XHKyomOhLUZm1ewcR7WLmaJjRzcz8tsi2/QDeD2AnKl6nu6rbHoOxIgQB42PvfAI3/csZWLs+hV+9/AH80iUDOPO0XLSr2XOVEAYhvvjW+3HN7ZegZ2MGH3/md3DBKwcwfM6c7LVm01VAGDD+6e178DtfvRB9G9O47uI7cdqVG7H2nK5oV7OnsWQYhJK3esSVRs60FhPNzEUAx2OiG+HlAG5n5tHqw3I7gMuWdqpGK3jozmlsOC2NTVsySKU8XH5lP778zYbfY2bPNuTgj0YweHoOA9tzSKQ8XPyaNfjJrqONbm42bTMe/dEk1p6WwdD2LBIpDztfswb333Jo4Q0rmD2NhmACSuTN+bQrjchAjcZE/zIRvQDAwwDeycxPxWw7HN2QiK4BcA0AbF6TQtehEP4x5crT0oCWgSJSDxdVVECMDEQplayoU812VzKDr/vkXDeZln50XQWdpljXANKJ4OL0QO0uBoBuiNwTQNyFPurPRvdZlmdCcUEOlNyIocEZRvGxAjauTaFzpnLyWwYyeOAH08hOVc4tOVHbfsn2BObaNPd4ZIb+iHwPRqUdKluHMfYkZSsv5U5nzyqb5tS6QW1TvY1ajm7lku5RScp6XKlpol9q9Rzpl+t9WMlOB7MSBXNASUqj3F1r5xFf46WT5B5Yz6PSLotLfe1E5Ry/sXsU3Ef4pScqUkUH+7jr3im88r4SslPOy6clz+imLh8vfO8BvGRorLaeLxRZZffT7q2171kjD8Aj3W604xOhfNdymq6HFfDC4QraPZ+haD0skSkGlYSmo9GGWOy7pixRP4OTst++GffZ7ZmS8+qY0jV0pE9iVkUuKvWBQhU5mJD9lrOV433xW7O4KJ3CL99b2VnAHn7wszH86qMV+453HsYHK5u07Bnt2ZzDz3d+01mfgTyLOfUe6grlR+ZCeU93BHK9cipSM6N+e85VaJBWCQQTMcnjPDWdoajercc65Bh7VT23w74bIVig+lFoZfW3ekE9i85yluXR5zUueWdCSVuxbS1PVq/zv9fd2/LBIBRpCeFAK0SrhlFfArCVmc9HZSS/oEaqYeYbmHknM+8c7Gl9dkZj0YyhCXsCZtM2ZAwtekaHcu3719cpxBha+IzmhtILb2CcVIQg5Ck559OuNPLWWTAmmpmPMtdyin8SwEWNbmucWNasT+HQfvnz5sDBIjYMzfkLPzB7rh6G1qdwQNl0/+Ei1q81m65WNgylsfewa891a+f8J2L2NJqCQShQcs6nXWlEBqrFRKNy018F4HW6AxGtZ+bjYRhXoBKOBFRCk/6UiI77eF8G4N3zHYyKIfz9s8CEPKzhrPgRWbW1TAAArFyPHOi2cscqCcDvkRe6dob5qk6Q3xV/ibT0M5uS482o/ydmlO31zOtQRQck2f0d+rtuZ0I141wpR1pGSioXc2fE5dqZ93Dx2V34oz0FHNpdwPq1Kfznl47i03+4o+aypkIIAPqObcqeAEBldmQfAAjHxa2spZ/AsW992YtikvkBAI/HJABU94Peb5zUNN/xerJyT/Qr2encflW/Za2qW7JeRSKtFfnhyKD87pFO99haPlRlUhw5YqCaOHF4uAfX7XkM+TtK2DCUwq5dR/Dp3z8NvY+X4R2tXeeW2bScDzD20BiC++W38Dfk/8OMur4vVl61X3mlSm4H4ImXShKy+9fL79+XEjf+ERIJraB+QjlGHkpHok10dNxgKMfvLcvy/oLYZ2BKrm+Pkne6x9y/6zLqPktMiB1pTB2/gXcYqfsyUb3/LgkZex6axNEbHsdwVwK3fPYAPv1La7DhpkpSx42Ve66lz2iOC9hZeMpZllHnllZSjpZ1skW5XlrSyagbOKX6+GX3WVIleZyySn5BRVUVlQRc0ok/xSY7lUQeZt0EfrN9csypbumXT8u+iuohm1HL9ft7JhIxOpOQ4+vozjAmyaen3tMpJd3rd/aJhEEotF9e2FgWPFNmLhPR8ZhoH8CNzHw/EV0L4E5m3gXgHUR0BYAygFEAb6xuO0pEH0RlwAMA1zIrAd444SQShPd9cAt+9bceRBgwXvuqNThnWw5//I9P4qIzOvGqs7sAYA0R3Q+z56ogkSD85Tu348rfewBBwHjTi4dw7uYc3v8ve/HMtSlccWEPYDZdNSQ8wl+/rB8//5nDCEPg6qd34tw1KXzgm8dw0YYUrryoFzB7Gk0Sgpy5Ou1OQ8OqejHRzPw+1X43YkbvzHwjgBubOEejxbzwJb141TNU7pAjwPvfVM2NMVoCgH1xtSHMnu3JZc/pw2XPqfwxnR6p/On7x7+2UXtWzKariFeclsXlZ7jpBD7w4j791expNEXFs9K+sk+U9vMBlUPwyCwCLRPMqiiNeWSgQEUKlfMLR5Kke2VU6SRzyshlSXa7l0jPUtcJ37T0M5mSPnGuQk1UBnJm1ZfFXZhTQVFJdxM5dyUZaLcsAORm5fipvHLNKrc9TS89aVIsITuRWoAr2WncSJ/610tLeRTTB4ATLaYvsb4fHElIJaELVDsqD7GKhghjpCMdXeYl5RwTKhHhZpXcbsdmN4eGt12ihgrrZPKjKtHiRJskx5QUcVSdX0R+awUcMGanygjKKjJOtUNl2skJOf7ev3kQmvKHpH1Wn1yXV1y5pdY+9nLZ/rGNohPoZH46sVoU7XrvUM+Slkh7lLTWraJ8upT0k4nIi4mjKuooJrKtrNtK6iyrZ0zfZ2EkyaW+t7j+49Iy0mVgh5v3DgkV7phQz0+qKNclqSSexiSdSD23gnx3En7q99C0XDtnGkBMO0pGtbM6KagzJUBNMO6Tdqj+jwg6XOmx0CX7KuTkN+Yz8pt09JKOJHWjnVqbmK1RQhDyfJJ5VgzDMAzDOHlg0LzpE9oNG6wYhmEYxilGCA95Xj0h6203WOFyiPKRWZTGxY9YVm7AcozUAwDFvLjfSjoySM22JhWRk5upr6XkVJRQIpJ/IFFWs76V91nPGh9LymXNe9IOVaS4ln50YiUA6FLu4B7JDYaOvJITgoVdh4nIzPvsjDq+Ugc8fR3UtW4ZzHMS+Gn5xlO3YZysQ9rVP080kHNYJT2RIwUq2UvvK+anc2S2fpx7PlT9ylpemlaSpLJ1+UlJWIb7xpxjJNV1yKqItM4tEimTWKfS6av+jrQ1FQkJawEMV+oBAM9JeKjc3cpsiYRrN71uakp2eNenHpU+N0l7cFCuw9OfJ/WZ6LmSXG582HXVz6o6UKE6R+2GzyhJNK0kodS0ki+mIjKDTl6oo9nUe6s4KlJRcVK9wwr131NB2b2oQYy0Fi5D9EiqRBg64v53QLo0V7l+Wye703KPpyKsdAQPFSLv3JiEnzpaMNASmv5/QS0vzShJKCKnBfr46p7zYt4j+vl2koWm3Xsr1S0v/S4lI/X1S9tTEYKOvJSTa83plclbZDKQYRiGYRhtDTMhH5pnxTAMwzCMNiWEh4LJQIZhGIZhtCsMsjkrzcABozReROGYaJZ5lSGyqHTNQt7VJvN5lZGwpPVeraGrcDO1vdYykz2SATG11s11kBrKyr7U4XWRwhlPdMBJTzTLhJqn4qmMi6mIBq2LfXXNiE7aOa0y66r5KOzV17ApdDXZuCJrpPRenlqGOSsBz5lnQioLLGUjfZvACTNuYJ5KbFvNCaJoAcqYc9RzW/QcA71ch/jGhf4CwPSU3CujI2KTxFMyiamjU3J9dQ3KS0eH5EcLPbYEnjuPR88/0c+YF1O8cz5yMcv18/rwVyT7rffVA7V2d6/7Shs4UzLgZs7pr7XDYZnv484Z0PMr1D0TnWuh50U42bLrz5XTIcp6noo7ZyUyNyrmfloO/AKj+0l3Xo6+LhxjR12UkUr6eql2fp45cSothZ5fpef+6PmLJZUVuDCp/1+of02j3xuZ++Pev/WXV08+Zntp67ln6Zw8ixmdNmNt3B2/vIRMKIQ2Z8UwDMMwjDaF4aGwiuasWPlUwzAMwzjFCNnDbJCb82kGIvoVIrqfiEIiqpthudrvcSK6l4juJqI7G9l323lWOGSUp0uO9DM9Ie7JKeUen867brwp9b2kXPXKM4uk8ooXSloeEvdiuktkoKRyFwNAeoPIOtmCCr9VMayBKmQ1Axm5+iTn3sEic0VVnLSSeHTW2YwKq/Qdj60qkKjdlhHXsZZ+POV+RYOZIJcKl+f6sKkvU6cngJI6rzhJKEbqAQDoTLk6DLpYX+5pljhXfZz040pF9dvRfWlJM6/CQ6empdOxUbFbT6/cW119y5NOuxWyhBfzp9Ic2a1KUi3Xfw/qc5mZcuWaqTuOyvHuEtmsu1+uS985ksY+uU0yB6NDXbvofRZb9FJ+lP4dcWGy7UI4WQLfdcRZ5qkUDqSyLUMV7+SkfuFoGTXmGY1mg44pJOq2lYyj3+vqudJST3R6QLmBTMuakGPeO/Ogb1kdop9IyEG0tOuNyP83SZ3C4ATCIJRaLwPdB+CXAHyigb4vZuaRhbtVaLvBimEYhmEYywszoRS0drDCzA8CAMVUnm4GG6wYhmEYxilGxbNS1/M6GJFmbmDmG1p+eOCrRMQAPtHI/ttusMJhJTOtjvqZmRFX2pjKdDk6E4mgUBPN49QMrQyUlHtRu/FyneJGz+4TSQgAUhslg2j3kIxKu3rlfP20Oi+13wCiQZUoPkpDyzcJ9Tt0cTAt6TSKp1ygeua+jmyIFhxsBeV8MLdwoZoNz0nlLtfZdHUUgT4v/XxFslU6eVRjClg6/R23fWPaBsfIPRot68RJQm7b3d51V2t5U/qUVJ8ZJQ/NFuRBmI3J0twUBPiRbLRx12EpxF5TxEVpSDuRiZ+Gp6/p6GF5mMZGDtXaA4+M19q950tlcn9dRMvX95O+h9QLxlcRb766l5Ol+vfGnEzJyxwBpCnNlnH4h4edZelOOf/MgMi2qSEV4TikrouWivSLdr4Iv9jnUsu2Sm73m4s0ayWOjKuWl3UGXFVM1iNZrqWi8EQaWsHsIajvWRmJq+gNAET0NQDr6qx6DzPf0uDhn8fM+4hoDYDbiehnzPyd+TZou8GKYRiGYRjLTxAsfgjAzC9t9rjMvK/672Ei+iKAiwHMO1hpKBqIiC4jooeIaDcRvavO+t8jogeI6B4i+joRbVHrguqM37uJaNfifpKxHNx25xjOfse9OONt9+LPvnigXpe1Zs/VxY9mGG/YG+L1T4X49Gjdv9TMpquIbx8LcdlPi3jZ3UXcsL+ud8zsaTQHEzhMzvksN0TUQURdx9sAXobKxNx5WXBYRUQ+gI8BuBTAXgB3ENEuZn5AdfsJgJ3MPENEvw3gzwG8prpulpkvWMyPAeKjIWaK0o7mF1K1rzCjknppL6TrnVSFypQE0KGScOWemHSO0aeigzrXiZt4oE923JuT7GtjnrhJpyHu00CNE/MRV2hZJTDT0T26sJiWdBDjNqeo+zUEgoDxjo8+hq++63RsHEji4vc8hCu2ZHDOeifefgYttGe5yAi0cQCQcjGXOlTxuGR9l69T4DAqKWlipB9H7nHarXPBxiWFi2tr6SeaFK4cE83muJ6rzYAZHz7KuG4NYdAH3n6Q8YxkiC1JQiiaVcts6hEhPY/cEufVnitzLBxJFbe9viYUU0Qxik7Qpd3wOnrkwBOS6Ks4K7LI0M5BZ1+JYZGDPSX3aBk10ameYx31soBkFjDjjx8t46bzUliXJrzq7iIuHfSwI+dc85Y+o2EAHBtxi14mxuQ9mDwsz2/uKZHGc4NTtXZ2s1wTXxXw0wkgG46qcuQ0kczDorQTWlorSv/5kuvFFdzU6Ks8n0LTSIRXGPOa1v+n6faJhJnA5dYOTojoVQA+AmAIwH8R0d3M/HIi2gDgk8x8OYC1AL5YnYSbAPCvzPyVhfbdiGflYgC7mflRZi4C+CyAK3UHZv4mMx+Pv/oBgI0N/jbjBPOjR6Zw2ro0tq9NI5Xw8Jpn9+GWeyej3SbNnquHhwrAhgSwPkFIEuFFOcL350ZDmk1XCXdPhNiaJWzOekh5hF8Y8vG1ud4ys6fRJAQEybmfJmDmLzLzRmZOM/NaZn55dfn+6kAF1bHE06ufc5n5/2tk340MVoYBPKW+760ui+PNAL6svmeI6E4i+gER/WK9DYjommqfO48WVmay0anC/qMlbFKp2TcOJLFvbN4U+4u2J+Da9Fh5Zf5yOFUYCYAhNV97MAGMzF+2oLlndIX+EjxVOFgA1mfkr/Z1KcKhQmvtCdgzesrDBJSTcz9tSksn2BLR6wHsBPBCtXhLddbvdgDfIKJ7mXmP3q4atnQDAFzYn2A/6bmz/WO8bUFkXFNQtXD0mMddrh9KlWRNzdTOjYt7MbdfFdQBkN0t0QLZDSIJDfSK23N9h7hTp7uU10L9h+LIQJ4bGTSTkpPPZ6SdVXVeErNqlrmOiJlnrEcBV3yR0aRHHtVm5TsSyRLtCbg23ZEizkeiqnQ5oIIKKGBl+JQnD44/JZpJXNIwABFfq47YWDgpnF6uXbzhEsolNZL8rZ6kcxx9b2tJyMmZF8q2IUsixCDk2vcp9/ZtyTN6Qa/PqWx8NJtO3MUxElZlXf0EX3Gy2WLlISByr6jkhFoO0JKWPscDe0X68BOSXA4ABtSz6Ot6YTphmiMJ1f9PQJ+fX42KS08yEklGplpLJpkO4Se92nd9TVr1jJ7X4XE0ukYfRyddm1R/3ORVXbHsqFyvjnVyTdIqksrrXHxeD13fSkdYJdV7T9demk9m81QGzmgE3nH0745LXDgfjuwUs98WBs8tGWIPXovzrCwnjZhiH4BN6vvG6jIHInopgPcAuIJZ0rOqWb+PAvgWgAubOF+jSYYHUnjqqAym9h4tYbhn7pjV7Ll6GPCBI2oQMxJUlkUxm64O1mU87JtV82jyjPXpuQNss6fRHAQqJ+d82pVGBit3ANhBRNuIKAXgKgDODHMiuhCV9LpXMPNhtbyPiNLV9iCA5wLQE3ONE8wzT+/A7gMFPHa4gGI5xM3fP4Yrzu+KdsvC7LlqODMF7C8DB8uMEjO+MwNcMreagdl0lXBhr4dHp0M8OROiGDJuORDg0qE5o0+zp9EUxAS/lJzzaVcWlIGYuUxEbwNwGypCxo3MfD8RXQvgTmbeBeAvAHQC+Hx1hu+TzHwFgLMBfIKIQlQGRtdHoojmQD4h0ZFAKqMkj4Sa9a3c8360qI4iTrIvs6rbozr5aiJ8h0o213nM9RV2PS6z39PDIgl1D8g8kPWdcu4zSfHDB1k5dp7kpogmiJtJipt1RslAORUNkFASR0LpS6Rc3dFoIAbB9wkfvmYLLrt+N4KQ8aYXDeLcLTm875ZD2Lkli19YnwAqnrRZtMCeQMX7fmj3lLPs9MNyXWhAXMZF9Z+sp2okUSi/0VOTR6kUr3u5UT8LS0KN1gyimCF+XMn5RiKD5tQG0uVUwvptXf/qf/UA7xupqIA/lwU2eISbxhhnpBmXVOY/tM6mHsFP+7HudvK0DKSisyIRuBzq663u27C+dKOTwjWahC5OIgpUJIiWYnTEUColffY+7upp6a5jtXaXkil0ZJBu+0pG4ZiX03HpMQngL3Z24Nd+PIOQgddtTeL8tSlc/2AeF/T6ePna1j+jREAq5d7/cXKrlkb0PaxruJWLIvtmVZ237FotAAO+ksf08+dcIy3P6oguVbspPc8cLf07tJyViEm8GFszaJ57zt1GJ3yLsbW6tCsmCYWERDGmRlsb0tCcFWa+FcCtkWXvU+26SWKY+XsAntbMCRqt5/KdvfiF85Q3ZaKIa69cCwAID80AwMP1MhiaPduXnRnCzup75/h/yq/rIp1c1Wy6injZhiReMiTPKAeMd51dMXB1AGb2NJriuGdltWAZbA3DMAzjFINA8MurZwjQdmdKPiHZk0Z6THSZTEbciBk1EExF3PFp5X4uKj9bOaY8ilu5XEk0MTVXAGBauTS7VYRL9oAkk+rrkdnv65WMU/LElXwkFe/7m07IDxvPyfYZ5cL0y+J6TuuIgoJKqhaZ7U4xtSy8vJKRUvFRHs3w2D43pGbDd/bX2l09teSbmF4nt2So7s4w0aB000C9kEakn3n7NBAdFO9Krr88GsUSFynUFlEEqEoWOmJq/lBpAHMnyIVKivHVPa+lH8Qsb1QSaqjsSkyElk4cl4+8B/Y9IrLmlg65UbOn90qnBmoGzYenEiSGSu5s5FovGpor+7j1l9TzoGWzGElIR3dNj8q7PCi4L+NMv8jnyR6JTPFi3kNOnSD1Dk10xF9Tz5cXoa5pVVbvU52UsZHkjnO/x9mkfhI6J+JopUocMSFhnhXDMAzDMNqVigy0eoYAq+dMDcMwDMNoCcSERGl5POnLQfsNVnyC35NCMienppM2pZPKBem7rjftOUw14KLTMlJXUvpk1FXx5wnuDmaVzjKhZKtxmfHe2y07m1JyVslTieN894YJSSWxU+cyrSSlRKf2HdaveZJwS33AV+V5/BgpIy5SoRk8Asby7n4fvWO01j5dGaLzRZIcuTjUwoRFMYaMqxkExGiHSyA2SqgNJJ0lQRWJQrvL/ZhIjjAmMghwo4Z0Uq/lkoTi0PYpxySni7rqp6Zl5chuSfy4Rr2EUkNu5MtxKCa6Jfo61vWEnG2W4RklzE2AFif9xCVK0xILx0hCs5OuNq0lraxq6yR6+hpRA8+xls8AwE8v/B9yXASbvh98uDeBKxfVjwCKqwXWkDy5zBDDBiuGYRiGYbQxTPBLS0jRu0LYYMUwDMMwTjEohA1WDMMwDMNoYxjwSysVirR42m6wQh7B60w6mqXOKplQ2m0mcvZa/tVhzDryVMuXuhZbt0TQoVdlmu3pdDW9bKcc1ClOpkNdlWaZLMpJZVXW2VxaFeGa537RA99ZFaqXVtt7Sv/MqvkrXkQX9eJCbp0Y7taLqQTXBgBw4Kjo8Zm7ZP7KJtUx9fwNtXaYa1Bb1Zp2XKZaNa+AVPii02eZ4gmbnb/inFZMGkxvmWVo8gheynPmpsTNddJzWYJi/L3lq/u2kfkr7FwIHZIfCb+NCRdtLGNp7Ok6j8mxUZmMkHpU5q/0xMzBcMPidSiue4zYjK7LRLSQYSPPwGL7BGX3ohZm9NwwmVSX0SHkHfraLfx+iqYa8NV/DHqeiQ7a1QUO9TnO9/vii5XWn0Ol5xPGzZM6kRDP839CG9J2gxXDMAzDMJYZBrzS6pnlb4MVwzAMwzjV4Plrq7Ub7TdYIQKlfCdcTbuCtSvNj7joUiqUORszYNThzcq76Eg//V1yvP5BN8Nf5xop/JRaJ5lq0Sc6UqAKggUJJUep+yKpvJ+pSAi2zr4bqDDmvNrXbFq5F5WLOFXUYaPxLkwq1Zd+lsPdTDRXBioo1+eRo+JG7/iZFIdcv61H9rFtTmXoCtHfqA+kQx4DLf0EdfvHZa2dk9mzwYKHiyH6Mxb7Cok+C3P320K70twMo64kVP9+il5HJytrTFFSLQmRE0orffQUwfmKzbUSrTYW1bM0Pip+9WRaKm5mh+S94YblqvvSX8Ew0gVuaR2uvGh5SEuU0XtArSvmlbQ9KddR30M6LDku+/R87zA/GRP67On7tP62PM9DqX9HXAbcONkosWIyELd8sEJEfwHglQCKAPYAeBMzj9XpdxmAD6NSHPmTzHz9QvtePVOBDcMwDMNoDcxAvjj30xy3AziPmc8H8DCAd0c7EJEP4GMAXgHgHACvJaJzFtqxDVYMwzAM41SDGVQqz/k0t0v+KjMf38kPAGys0+1iALuZ+VFmLgL4LIArF9p3G8pAmKMZOC5f1U5GvKZ6szhPvY4Y0tFEWSXddKoIoGyXe4kySvrx1ko76BHXbqFLSTcZkRwKSS3RyD611AO4GWxVjUH4LNsXlCSUVvstqoihVL5BuUK7zpdJBoraSlNWx8yr6ADWco26XqwL6MHdcezoW8sRyvXuqVTHnNKRQfLQRmUfHb/gZvasH6HinJ/u0+C1diOAVLsBD+58GZiXCnmERGdyHulHRV/obLZFNyuwI7U15I6u3ydQ71cvIic1E9zmxbx3AMBThU+1Sz+vpIzpcZEytHzhOfefakcLHMYV01wOo2JpEXBRWec4oSP9yPL57KGjcIpSF9bJcpvIyPXyYySh6O+I+10JJbvFSU2NEpc5Oa4AZRBTOPGEwgyU6oYDDRLRner7Dcx8wxKO8BsAbq6zfBjAU+r7XgCXLLSzhqxCRJcR0UNEtJuI3lVnfZqIbq6u/yERbVXr3l1d/hARvbyR4xnLz1d+PI6z33Yvzvjf9+D6rxyZs95surq4Y5bx5v0h3rg/xM3jdV9+ZPZcPdy2ewbn/s1TOOvDT+LPvztWr4vZ02iO44OV6AcYYead6uMMVIjoa0R0X53PlarPewCUAfxLq053Qc+K0pcuRWUEdAcR7WLmB1S3NwM4xsynE9FVAP4MwGuqOtRVAM4FsAHA14joDGZuXeEVY9EEAePtf/8Ebnv/Gdg4kMIlv38/rji/C+dsyOhuZtNVQsCMjx1jXLeGMOgDbz/IeFYO2JJ0/qIcBHCH2bP9CULGO758FF9+w3ps7E7gWTfswyvP6cA5a5xELGZPozmYwaXFz1Fh5pfOt56I3gjgFwC8hJnr/eW0D8Am9X1jddm8NCID1fSl6okc15f0YOVKAB+otr8A4KNERNXln2XmAoDHiGh3dX/fjz0aAyiGS4pKiSuwFYeOoHByieligJmIzKATwal2uUP6FTNKllESja4ZpZO9lSJuyqLWvfQqZS1PJ4VT09QTZdkgHUkylaq6Sn/04BROW5/G9nWVwclrdvbglp9ORgcrLbMpIT5aBXAT/XWowo+kZLZytr6OFHX7ay+zcztoGUi3dbG4VIyrPpLMzHHpq0gQ7W7W95BX1lKRcje3KKjooSKwIQGsrx7zxR3AD2aB7WnnGL0Abqq2m3tG/UriRsTJQMX60UBu0T4gdBLyLe7/UlZhFqyL0EWjTZyoIX2vxEl29eWdKHHJ+XT0R0FJQhklb6ZUAdREjzykVJWB7nhiFqcNprBjWycA4KqdPfjS4wWcd1Z3pWPleelFq+xZOfq878/FSkRaHtJPTzTSJi6Sq6TuDTeiRrV1RKR6T8+J3kstj2zWCI4MqiQhnSAxKKzQOJIZWMJgZT6qUT5/AOCFzDwT0+0OADuIaBsqg5SrALxuoX03YsV6+tJwXJ/q5JpxAAMNbmucYPaPFLBpQF6SG/sS2Dc2R7s0m64SjgbAkBrLDSWAo3MH+ymYPVcF+yfK2NQjg/aNvUnsG58z8dHsaTQFcwguFuZ8muSjALoA3E5EdxPR3wEAEW0golsrx+UygLcBuA3AgwA+x8z3L7TjtphgS0TXALim+rXg/e6D952YI8f85fQzPdLNR1Yea2THgwBGlnRKJ4Y+AN03fn3kier3fgCdH//W6JPV72cCeKLulg0Stekrngobs+nDU9L+r7ubOYVWsirs+ZXp0LHnLZPhk6rPhc0cIGrP5PsfPUHP6LJxgm2q/4Kdiu1VpfJ83jnhPp/fHm2ZPYG5Nt14+8xqtmm7P6ONcOYJPRozUIr+/9bsLvn0mOX7AVyuvt8K4NbF7LuRwUoj+tLxPnuJKAGgB8DRBrdFdQLPDQBARHcy885Gf0A70u6/gYieDeADzPzy6vd3AwAzX1f9ficq9jObov3PfyF7VpeNw+xZo51/w4mwZ3V/J41NV/v5A7X37omDQ3CLByvLSSMyUE1fIqIUKvrSrkifXQCurrZfDeAb1Yk1uwBcVY0s2QZgB4AftebUjSYwm55cNGLPMZg9VwtmT2P5CUNwcXbOp11Z0LPCzGUiOq4v+QBuZOb7iehaAHcy8y4A/wDg09XJXKOoPFyo9vscKpNxywDearPSV56FbFrtZjZdJTT4jI4AGDB7tj9mT+OEwCG41L6DkyhUP7Jo5SCia5aYgKZtWO2/odXnb9dj5Wnlb7DrsfLYM+qy2s8fOPG/obt7O++8+E/nLP/m1197VztKam03WDEMwzAMY3np6trKFz3jj+Ys//Z33tKWg5W2iAYyDMMwDOMEwiG4OL3SZ9EwK5Yth5pI4d8uNPAb3khER6rx5ncT0VtW4jzjIKIbiegwEdUNWaQKf1P9ffcQ0TMW2N+qtqnZc07/VW1PwGxap/+qtqnZs3VwWEYwe2zOp11ZkcEKNVYiupbuHcCHUEkn3TY0+BsA4GZmvqD6+eQJPcmF+RSAy+ZZ/wpUogl2oJKP4W/jOq52m5o9XVa7PQGzaZTVblOzZ4vhEGFpcs6nXVkpz0ojJaKvhJtO+iVEtLicz8vLkspctxPM/B1UIgniuBLAP3GFHwDoJaL1MX1Xu03Nni6r3Z6A2TTKarep2bOlJxMgLE7O+bQrKzVYaSaFf7vQaFrrX666875ARJvqrG9nFpO6e7Xb1Oy5+L7tbE/AbLqUvu1sU7NnC2EOEBYn5nzalZWr8HRq8CUAW5n5fAC3Q/5iMVYnZs+TD7PpyYXZs1FCG6w0wmJS+IPcdNLtwoK/gZmPcqX6KQB8EsBFJ+jcWsViSnmvdpuaPRfft53tCZhNl9K3nW1q9mwhzAGC4vicT7uyUoOVZtK9twsL/oaI1ngFKhUmVxO7ALyhOkP9WQDGmflATN/VblOzp8tqtydgNo2y2m1q9mwhs8H0bXeP/s9d0Q/atSAkM6/IB5UKjA8D2APgPdVl1wK4otrOAPg8gN2o1LbYvlLn2sRvuA7A/QB+CuCbAM5a6XOOnP9nABwAUEJFG30zgN8C8FvV9YTK7Ps9AO4FsPNktqnZ8+Syp9n05LOp2fPU/VgGW8MwDMMw2hqbYGsYhmEYRltjgxXDMAzDMNoaG6wYhmEYhtHW2GDFMAzDMIy2xgYrhmEYhmG0NTZYMQzDMAyjrbHBimEYhmEYbY0NVgzDMAzDaGtssGIYhmEYRltjgxXDMAzDMNoaG6wYhmEYhtHW2GDFMAzDMIy2xgYrhmEYhmG0NTZYMQzDMAyjrbHBimEYhmEYbY0NVgzDMAzDaGtssGIYhmEYRltjgxXDMAzDMNoaG6wYhmEYhtHW2GDFMAzDMIy2xgYrhmEYhmG0NTZYMQzDMAyjrUms9AkYhmEYhnFi2eERz9RZvp9xGzNfdsJPaAFssGIYhmEYpxizAN6RniuuvCsfDp74s1kYG6wYhmEYxikGEZDyeKVPo2FssGIYhmEYpxgegLS/0mfRODZYMQzDMIxTjIpnZaXPonFW0akahmEYhtEKCEDKn/tpaFuiy4joISLaTUTvqrP+jUR0hIjurn7e0uz5mmfFMAzDME4xlupZISIfwMcAXApgL4A7iGgXMz8Q6XozM7+t6ROtYp4VwzAMwzjFIABJf+6nAS4GsJuZH2XmIoDPArhyGU8VgA1WDMMwDOOUw6NYGWiQiO5Un2simw4DeEp931tdFuWXiegeIvoCEW1q+nwX6kBENxLRYSK6L2Y9EdHfVLWre4joGWrd1UT0SPVzdbMna7QGs+nJhdnz5MNsaiw3Fc8KzfkAGGHmnepzwxJ2/yUAW5n5fAC3A7ip2fNtxLPyKQDzZbN7BYAd1c81AP4WAIioH8D7AVyCitvo/UTU18zJGi3jUzCbnkx8CmbPk41PwWxqLCNES5aB9gHQnpKN1WU1mPkoMxeqXz8J4KJmz3fBwQozfwfA6DxdrgTwT1zhBwB6iWg9gJcDuJ2ZR5n5GCqjq7ZL4XsqYjY9uTB7nnyYTY3lponByh0AdhDRNiJKAbgKwC5337Refb0CwIPNnm8rooHi9KtGdS2j/TCbnlyYPU8+zKZG0yQqss+iYOYyEb0NwG0AfAA3MvP9RHQtgDuZeReAdxDRFQDKqAy639j0uTa7g1ZQncBTmcSTy1yU2L452kOaLG1i1zFEoXz3QhkiemXVDtT2Yf3zUZsiSJWddeVUvtZOJaUMVLc3XWvnat4vIBNIOuNEWY7tqWNz5H4pJWWbmYT8pklkZXmQk3MKk7IvdfLR66Pxd2xH8OReJM87m0FzUi4XAVwfu3EDaJtmc95FW87IuAfw5Ecf4n45r0ND0imQixTk5HeFPSO19jpf2gCQVtdbZ5Imp011l8cSsQ9DNuL6tyb0bhvp0yzbzslg36MFnPmMDud2IgY6uj1MT4TPBbBkOUDbk7LZixLbtoGScp93JiZr7W7Ic5FWNkxEnjc/qP88NGSTGKLPUuy6BmzlMOceiP9Wb1+6XVaP5awnr+AplucbAFJnD6P02GFkL9zGoXqWqXKBWvqMpjvmPqPaXq596j8/cZeu2ft8sf+dRo+nX4OBOuFAvedLJEcpk2wQKvEhul9SS3zIBfL0cq7/Pqr3bnrwpzMjzKxegMsLEZBMLH6wAgDMfCuAWyPL3qfa7wbw7qZOMEIrBitx+tU+AC+KLP9WvR1UJ/DcAADps8/nDX/veJScgYcekCQLaadfoiT/aadn0qotyxN5PaCpb6h8pwxQxtaOOevGNu2ptfvXPFRrP7f7B7X2cyDh5qdPySBm46j8jq4JaXOkPsOBNXL8uwZlUPKl4Lm19h1Hn1VrB0e21trdh8X7lp2UbQHAU9duZvRRPPbBV+PM6+5AKV2UfSVLeOjn1k6ghTY98xkd/KHvneusvy+zptb+y8f+b619/j/urLc77H2enOO5L5Z39Kvpu06/oUKp1u6S/0uRDKSdUP9J+vqFrF7CoX6pRcZ86jKi5Eu/gnqa8qpdUgOzuHZA7r0YLPIVffTxWVz3iw/hT390PjJqgJArh/irtz+O//zHkWOqe1P2TJ13Dg9+7tPoXPtwbf1l/bfX2s8LxOO7aVrsMTDlXsjOafmeVs+lr/4+0P9JhguK1u5/TAAQJMQ+ZWWT0NPLWS1Xfah+//nORd83JXW88Ywsf6JDBgX/Q+fU2t+beqazr0M/8zDyhj/G4K0fRagOmElP4dGhX23pM3r6RR38D988x1nfk5cL0DWjjq9slVC2InXB9DvNuaZzniX1n3nM+9iLGTTF7beYckfFkzn5fiwnx9ufk/8X9id6pc0DtfYUu+9QTS/JAH09iWI3FMjy3pLc/51FOXZGXbfj76YL1tz5ROzBlgGPCKnk0gYrK0ErQpd3AXhDdXb6swCMM/MBVFxELyOivuoEr5dVlxntzxjMpicNz/n5XgAYMHueVIzBnlGjGQhIJOZ+2pUFT42IPoPKSH2QiPaiMtM8CQDM/HeouIIuB7AbwAyAN1XXjRLRB1GZjAMA1zLzfBPGjBPEo3/1Bkw+8B2UJ47igTedgcE3/CG4XBnq97zq9QAwDuBRmE1XBR9+/cN44NsTmBwp45qtP8br3zuMcrnyV9yr3zSIS17eAwAFmD1XDU/8xg2Y+O5uhKMTOHDR1ej8vdcD1Wc085YXAvaMGk1CBCSWKAOtBAsOVpj5tQusZwBvjVl3I4AbF3NCfimBvoNrYtd74cIyDgB4yncfJMO6bU1Z6QSltLju8h1TbseEyBFJr4h6aJd+SemiRTUXRbunvZi5M9F9TYXikiwVOmrtrlGROfsPyLSEzLg7tdsrVY550atvdtzlxS5plw5UrgMzt8ymAREOplx36o9KIgv1P3K+rPCVXtwj7vLRzUpaS6j5g0reAVxpZSYl1zit3a7K9ew7176+9BO9zbRNdTvv15d48uo3lZQeXiQ1Dyfi5NR2DxZwgF79macjxXIhcqHclzNBbfmTzDxHY1uKPZkCcHYSvemjtWVrSVSmTCjnkozYR6Nd9/p50PcmzfOM1z23iFyjpZ9yIkb6ofp95pMC4ygrWXBcTUHZn03V2j/1ttba986eVWuP5Qdr7Z6P/z9kC52yAzXBLuSKzNDKZ9RnIFdyl2ULcmFSRWknVTvu3RUqGVPP4YjKQPodHrevOOmnqJ7vfFo6TeTcHY2rqTijabkhjvryDj3MvbX2wVBkoOlQ+vhw5y9CPftraEzOV81TSYa6Lf31c5EurcyAgXCSDVYMwzAMwzi5IAJ8G6wYhmEYhtG2EMFPtGLa6onBBiuGYRiGcYphnpUm8cseOo+5+QaiYYPHYT8aTqjCBlVsmJ6DUk7K8iCpl0u7lJE8EcXOMecY6U7R6QdTkuNjUGmWSa4v1GsNvJxYOGQPcOP03Z2JYOorYV6HZicmIxqrCuuFp8JGQ9HTqbOxFIaLISDCPbTVWfb9kRfU2tuf7JUVabl2k+vl/PvXSThsP03U2mEk5FfPFXGunRNKDNUn7pylHdXZ9fZxc1OKam5KXuXSKKl5KkV1UgWSMEoAKKt5KoESx8uqnVATdnKk4rQVIZXqLm8G8kIksxPYlN5fW9bPEq6ZCuPm/rgXW8/h0sSFqsbOj3BCWKNzVtQz59dfHjc3JZzn3HU/HbI+npb7Qc/TekDVcftpUeapHCnI/LwwdJ89PyE29X2xYzqRR6tJhEDvlHv83KxKE6HmqfiR10pd5glXboTFzk3R81Imk+4BZ3wx0LQn77pRksl6Y6G09TwVPU8wEZmz0unJ/xMFuM/vceLmqej0Cbp9QrHBimEYhmEY7QwR4CdNBjIMwzAMo10hgmeDlSZgwC+Rm9lQhcHFSUIAEKTEz1bIiQt1tnNKLZd2mBZ3aphUrtW0ZJ1NZ0VyAIA1OSkuuT31ZK2tMxj2llS6feU51K7jcoOhy55K45xRrn6d6jxIaGlLhYBG6j4430LZLwXx27SCPFL4xuTznGUdP5NsnSkVHV7uklvy0JbHa+3zc7tr7bRyx0bDerUso33ROs22r++tOJVN7cbdp1sqoKTkNB2WnFeyjg5RniHJrKxdx/mIG7nA4q7W0o8mQxKi7CtJKKGOPeJ1otUk/SKGOvZjrSp1kIqGddahFHnbJAIti6rlZX2948Ne6y3XzxXghhLrtj6XOBlIh6UXIueupYajSbHpAU9SBzwRrpN2cUOtPVEWyUGnP8il3XeNRvdLxaRMaAY/ICejMAD45YWlH46Re4K4rMDzZALWtsurLLQzaRUOHiP3TPryvGipB3CfuXGIrHOUe2rtkaC31tbST0FJ5NEMAnHPpY/673bfkYR0yPYKhS4T4KdssGIYhmEYRptC5lkxDMMwDKOtIcBLtT6gYrlou8EK++wUEjy+7Dih8qUV024/XZAvr6SffNeYbN8hbUrN1trplMzs7kiJO7Y/JdE/ALAtLbWmzvBEBtpQHpdt8qqQnPLYatefjkzwoq5R5ZbWmUl7fDmvdFqiL2a75NgzPd1yvIKbNTbpqcKPOmIjo6JYomksW8BUmIP3xCXOstP3SNZdLUNNqwigwrBIP6cl5VqnOf4cnYKAcbJBA2VgnSzEURmItPQjhtRRPzrSZ9qRfpS7msWnnYfrus6zbBMXAaTxSZZPkEQz3F86vdr6r7rbLYU0FXBa5lEMemNyfH0/qWsXjaLROLJOoJfrbRZ2kbsRP+7xCskYGUhnHlZvQS33jKV0tlP3WTpAIvccUhlPx8o6qkRVRlf3Q9oTCTcxT4pfn+RZSCvpZ23iCH4cu9XSIF4gk7a6LuzVl+/cgpD1ZaBoBJi2z5SSeyZTKhN1Qow1oeUe9VzFPWOA+5yNcf0IoAK7RXGPo697j+fKdL2evINzEJsmlcSub0cvpqT3fFMblhPyCH7WBiuGYRiGYbQr5lkxDMMwDKOtIQLZBNulEyRCTAxOIvTFPcrKPxmqtk7qBgDllET0lHLiouOstJMqukfPvu9Tck9/QoqybUlK4isA2O5JNNDpJYmGWD8t5zswKTdAqoEiVeV5BrdJlt876I/V2j1pOcdDvYdr7YkZif7wIuETmbS4R32V2ayckXOf7plBq8kXO3HevWc7y9LH5HeVVSK6sTVyTZ+59ju19lmQ4oUZJQP5cH3XgZYN6gcGIYjxuuoEc44MRO511NE9cUneHBc1xA09zZLwUEs/OgIBcGWghJIDdASQ3l67tB8ubJP2yIXV1p+iVXTQLJ6TvBddLDKqLp6oi7dpD3dUZohL+KajgeIiJeIKERYiMsOsSig2o9SBMfWSHk2ITZ7wpJjgvlAStml5B4iXDZxzZC3fKRv6IhkM+Opd4x9wtj8zkO8bp+X6Dh4lfHrBoy8OJiCfiUbq6PeuWh5T+LGkNA9tBy2taXkHAGZUuvdpT0XHKUl1oUKeAJBQ74H66RGr/dSzpJO66UjLhJJU9fIBErkdANawfF9TlmkHXSU5lziVT8ujXgNS57LgAWSeFcMwDMMw2hUissGKYRiGYRhtDMFkoGYIkkWMrd8bu55VjQxORKJCEuIqjYv06VLySW9yrNZenzxYa29MHKq1t5EsB4AtReW2HRd339qj4sLsmKifTKms3NBF5XKNul/TSjrqKokfcUNCJJItGYmOmekR6WdS1Rcpp1yHaHZSIoVSeXFj6wirme74xFRLJTWbQ/fjEe1FPSOzPcpFftGuWvvD+79ad38H+uSajGbch03X59GSkBMl1IDXVUtCWvYBmpN+pjin2rK8zO6j6EgIynWtl+8LJOnYwzOn19ojB86rtQcfPwMA4AoMzdFdLuPFR444ETVa7tFRb9mC2CNTiMiSef2cSJuUJKSTjhXUc6KjSsY65X6IlBXDESV9PuGLxHN/IFLZY/kttfZM4Mpxx0l57rPkRPQo2SCtZIMeX+TnMxOP19rnlUVKPuuIbLt2xL0HslPq+hRV/a44HbMJAp9xuM+NrnQSI/r123lfR+0sLOnoBG2AK/HoKL+samdYJz9U0wCgo/JU7aRIPay0kk47oJJ/xrwH0lD9WezZEbr3QHcg/fR7WgdUptV9rcrSOfWAViopHE5GzwoRXQbgwwB8AJ9k5usj6z8E4MXVrzkAa5i5t7ouAHBvdd2TzHxFC87baIKpH30dhz/2XiAM0P+yqzF41e9Gu2wiorurbbPnKmDya/fiwLv+FQgYqVf9Cjp/8+poF7PpKuLr/30Mf3Td4wgC4Oor1uAPrtoY7WL2NJqDAJxMnhUi8gF8DMClAPYCuIOIdjHzA8f7MPM7Vf+3A7hQ7WKWmS9o2RkbTcFBgEMfeRe2f/AWJAeGsfudL0Lnsy9DZstZuttTzLwTMHuuBjgIsf///DO2/cfvI7GhHw8//8+RefHzkTh9u+5mNl0lBAHjXf/fY/jSX5+L4TUpvOA37sErn9WPs7c6Xh+zp9EcREDy5PKsXAxgNzM/CgBE9FkAVwJ4IKb/awG8f+lnVAT694K5/kXUpdKJwsg6ccvpMuoZXySh3qTIOGuUrKKlnx0QN+3mgiuLbB4XF+yGg+Ka7T4kyxNHlatR193JyeUud0s71eOObnVkxFrlO9yWlIilidRDsi8VTbPHU8nB0m5kT7GzH8W77wFtW4fZp2cxi1GkL38ZjtzzOfRc9FsA3CiqKs3ZE0BilkGT7rmU14sk9fgz7qy1933iL2rtsTskyikzKLLKlmeJ/HH0Ga7f//ENcn+M5MS9Op3QETxaKtL1g1Qys5jlQHPST17X/FHSTzlyv2tpIR/KMUYDSUa2e6IywCzc8TP4a89CcfY1KO4BNpx/GPin3dh4xauRmqn7HDVl0+wUcN73PXBarlGoSs1r6UY/ol45Il+EeqVKmJhVNZZUaaOZrPTfOyDX59GcJMF7gDY5h/hx4dxae8/ojlq7kJe6MKxCXRJKPs6m5FlIJ2R5paM0O1T04LkpSWR4SSDtp+2Tc19zSDbOjmupp3J9vv/AJHasyeCsXBKYYlz13H7c+vURnP8rUl8oQtPPaN4nPNwbSUyoakzNqvYEqftZ1bTS9az0/avrVjkyDIBuFVHWG0g7E8o2qZgsjnGJG3NK9gGAbsrX3SaMiTJKqkScuq3PCQA6ymLTTnXIXFGOoSV9HeWWiM8FeOLwsKo8K42c6TCg4kYr3pXheh2JaAuAbQC+oRZniOhOIvoBEf1izHbXVPvcGR5t/ZwJQwgOHYa/fm3te2LtOgRHDtXtu1R7Vret2bQ4MxLXzWgB5YOjSKxZX/ue6t+I4rH9dfu24hk9MrFw0UJj6ew/WsTGIfmPf3gwhf1H6xcvbNUzOjHS+szVRptDBCS9uZ82pdUTbK8C8AVm1uPGLcy8j4i2A/gGEd3LzHv0Rsx8A4AbACD19B0rk3vYqMeS7Am4Nu3Z8AyzafvQ9DO68/QOs2f70JJn9LSLOs2mpxoEcBsPTqI0MljZB0D7VjdWl9XjKgBv1QuYeV/130eJ6FuoaKtzHpzaCXklDHXtQxAjA+ny6Lp2BuDWcdCz9TtU8h/dHlQJmTaQ/PWvE/ysn3KlpvWHxe3Zs0+5Oh+XbYIjymWsZCCvU7ZNDopM4A+5M+STqlhJopxUa1QytF6pUdSRFjfngHJJP5Jy5izgYGYYfGYZ+V2Po7S2sn1x+mfA1gyKQxXnmZdwZrw3bU8AQLkM+O5DMbZRjrP34bfV2o9/SaKcCqrGUvjodK2duUd+48AmN3rjoueKh6Fwfm+tfXij2Opwr9wno1lxzY4lVdSCKjNfjDwmcXVItBtcJ2zTtX3iysprtzngykIHSiJ77RkVWWPgvkq9JX+iA/zQX2DHdyuP6WMPP45OrEHnw3mE/XOiW5q36WwA3HvUCaZI6KgCFSFC/jwvQ+2C7lD3+VpVM2mN7Gv3Grkf/jsr9/Y3Z55Vaz8+foZziOCY8jhN9Upb9Sl1iNxTzo3JsZWGlfRdz0aHL++RpytJ9gUFkX7O2S+/b+Cw3EPJafVOKMoxqFRZPtydwN5DBXjV+3//wQKGe5KgQrWvW6uqJc/oLKXwI2+Hs8yRL8P68mVcwsJeyDUdIPGWD4byngSA/rK8K+OSqSVjahbpxGoquAYlP4j0K6l+um4V6i73uX5Sw0wkCkufY0Y5ppyonxjpRy9fMQjgZBucR4M0Mqy6A8AOItpGRClUHo5d0U5EdBaAPgDfV8v6iCpvdiIaBPBcxM91MU4A6QtPR/nRAyg/eQBcLGH2S99C+tLnzOln9lw9ZM94BmZGdmN29DGE5SIO3v8FrDnj8jn9zKarg2fu6MTuAwU8dqiAYinEzf89ilc+s3dOP7On0QxMBE56cz7tyoKeFWYuE9HbANyGSujyjcx8PxFdC+BOZj4+cLkKwGeZWQ8/zwbwCarMhPUAXK+jiIwTDyV89F//Fhz99XcDQYjsa16O5BlbMflX/4jk085E7hUXHe9q9lwlkJ/AmVd+GD/+5OXgMMDw+a9H55pzsPtbH0TXGc/G0Hm1yFWz6Sog4RM+fM0WvOLahxCEwJteMohzN2Xx/s/uw0WndeCKS2qTrM2extIhIEitHs9KQ3NWmPlWALdGlr0v8v0Ddbb7HoCnLeaEMl4eZ2QfQRBzammnhoMrA2k3pK7pkEGxbp9uiLSwJhRXZX9B9ts/6brtO0eVu3CfuIJLT4rbs6hkIFauw4SWgWblGP60O7kt0ycyQ3JS3K8ZVdyka0Z8iv0DMplybU7qVWzMSTQNADyUqibCejWw/4o/qC2fKj+BwWt/rnIutA/70Tp7AgCHAbjTjdqZ/bl/rbVHr35Q9VXl58v128Wi/PapB123cuYxccP39Mv1GtgkESPDm1X9pNMkKmR2s9jn4LBIa48NyX0CAPsy8lsOexLVpKOBNNFIn+Po+1dH/ADA4bIkMNPSz5qfPLfWXvffci+HpU0YuuxzAADq6gNGRnD6eb8NPm1TTYpslU05ZART0QmZKkqvQRlIZ8/01HNCKiplSsyGn2RF0vni+GW19siRM2vtzIgbMdM9IfZNFmS/pbSqsaSkVh2rUlKRdYGqIwYAG1QSyfNDkWRPPyK/vW9EJfabVdKCupfjErxdvrMXP//0bqfftcejgapySSuf0RISOBgMOst0/aO4e1i/jzN+/fdsH8szqmUfAOhVMlinUqCTTtI0Wa7yVyKIubUiJdFcuUjpOo4M5NW3gz5etIs+x7iEb3HSj04EF62ZdaJgAsJVJAO1XQZbwzAMwzCWGQLCVTQCaF+ByjAMwzCMZYEJCBJzP41ARJcR0UNEtJuI3lVnfZqIbq6u/yERbW32fG2wYhiGYRinIEsZrKis9q8AcA6A1xLROZFubwZwjJlPB/AhAH/W7Lm2nRMoSwU8PfkIyjHjqIwO34UbopaGCIe6KJYufgVdcE2lJugti2DapbTTTN49j8Ss2ldetg/VHJRALddzVuLaiYj+742Kcu6PiG7cNSpzIrLHpN03JHryuiHRhDf0y/wNANiakeRvuxOi7Y+EvbV2GT5+ihbDjDDjat43hR+ptZMqs68/LtciobKiesoM4Twab7Eo1/XoYTHk+Kho6MkHZV5PIiHzfdI5OcfBfrnuW87sdY7BO+V8nzxLQt4fXHek1n40LZlmD3j9tfYYd9XaOpvtdOiGGD8xJaG53Y9cUGuv+57cZ8W7bqu1g2mZn5TepqO73IyuLYEAL+WDg/qGiJ2n4sfr46yeH29S7oFUSa7RIZZrenRS8lKmRyW0u/vogLPf7JQ8J35JZSVOqmyrpfqvwZlkvu5yAFjnSTbpDdNqHtykzH9RdVVBDcxLaLhAYUxG1+VEz1kpx/y3kedC3eUp9Z6NZqNNq7keOturbjvzOxr46fPVBQxjdhCd59IIeq5J3Dm6c1N0NlvpQytUyLDiWVnSvdRIVvsrAXyg2v4CgI8SEUUmgy8K86wYhmEYxikGE1BOzP0AGDye2bj6uSayaSNZ7Wt9mLkMYBzAAJqg7TwrhmEYhmEsL5XBSl1Hx8jxIpntRNsNVtIo4bSgfq0aAPCUFynFrm81qVyMfoy3qaiyP4ZO1kLpo0Piiin3GKUOcYf63cqV3C/uZi3xBMq9Hbc8LLpyFo2L/9hTYdD+QXEx+z0iU/SqIn9dwyInDAy75l2/TsKrh3serrWPJCUUd8zL4dNoMcwI0q6r8/THVUj2Wjl+p5LQfOUrDVTRsECFfkYloTDGRe4pu7vh0WrbKflSUKHhkwfdcMvE9+X+HBqSa7/1afKHw+xz5Nrfc7ZIBnd399ba90KkntGySBwAkD+2sdbe/sCaWrt0r2QQmH70K6hHcs3Ztba3DJIBeeRkY26YeWQgRzqakPt/7RNyfS/Y+mit/XlV0DRRlGfBL0UKQuble7KgHcnqOS7VdzAXMyo1gQqDB4CEkqBzSu5JqiJ2WvppRAbiyPWhONt5rZcNfAROugcgGq4sv19nF59WWW51FuYxT9IDzNJorV2MnLsOK47DlVV0u/51mC8UOFzktYuTjeYjLizZc+6HlQ9dRvxgZSEayWp/vM9eIkoA6AFwFE1gMpBhGIZhnGIwGGV/7qcBGslqvwvA1dX2qwF8o5n5KkAbelYMwzAMw1hemNDo4MTdrrGs9v8A4NNEtBvAKCoDmqZou8FKOmBsmSo6hak0+tpGPXR+jDtNe4ZnkrLRZFJW5JUb+lhG+iR7XIlGZyEcKIl8kdLZOJWLPFCRPTrrZ1m1dfQQAARFWccxrmBS7sxkh5gxMywpP/tP63W26dwqLtu+TbLfg/2SoXUkN4OWE5ZRzLnGmeqW7z1nigTiqYJ4GXXtihNyTUozIteUi+5+g5ist5q4a9oo+hgzR+Qc89+WyKLUjyUy6OLzRB466zJxp2fPlwJ499JZzjFSExJBlDgk9pk9LBPui+MS7eX5IpeE0+Jt9WfcAnwtIeGB+tyMu7ERKtrtPl9RQx1ZpPaVekokuFfeI/fvD86XP+RuGdlca3ce63V2y+qFoWtFeiVZng7kngs9eaYLObkvJ2Zdmc6J6lJvUR1dwVp6dH66viZKNkLkGurt9daNRg0tgiTKToQTABxUbZ3NtqAOX1CZl4/GZLnNqLAoP1KV0FfZbT1eWA9JNSD9xMlD0X6NoaYNzCMJ6WiiRs9lpWECYgLhFt52gaz2zJwH8CvNnF+UthusGIZhGIaxvDCA0hI8KyuFDVYMwzAM4xSDyVUd2p22G6wky4RNRxLOLOVGPWnaTafdclMZ8cvNqCCGvCeWmvDEjX5UGXA64coiBRWhUk6oJGJp2T6TVgXMsuoS7xOXZzCrE8e5BRm1zFHMy7mXivUjYnyVPK1DyRJdo+7s/swxKeq2flranRtEmuhe655LK+CgjHLGlboeWS/HGTxXziWtizgeEgkgfURFZqjfVTzm/kZ97UqF+terERmImoy4KCtpb1xJQhlV8PL1r9wi53eZOz/tvb2XyJekyBzku1EpxwkDsXt5Ym+tnRqfrNe9ORIEHsjESj9apohGuDjoa6z2RSXlR1f3fO89cg/8WfE+OZ1n/nWtfUvBzfydKsi1S6gEj040hpKEMlPyvHYek0KCU6NugcR7B0S225+7t9be0CXnm8rr/wnqH8/TMQ5zZAYtjdE8/ZonzQFOwwF3mSpMqCN9DqkimzpiaCbI1W1PqYSHY0mRzwBgIv1krb3Zl6ihdQmRfXtm9XtdrldK5dLU8jwictpSoobkePH7aSzBnCPgSVNH4ZRXRipiAgptNwKIZxWdqmEYhmEYrYABxETttyU2WDEMwzCMUwwmoLQMOXuWi4YGK0R0GYAPoxKm9Elmvj6y/o0A/gKSGOajzPzJ6rqrAby3uvxPmPmm+Y6VLAGD+z2URFVxiivpNkfccGW1Tidzm1Wec22cY564J5/CUK09BYkIGEhIHRkAmO6SGiwBiUyhXYQDoWhNmYLIGp5K9kZKyghKrj9SR7jkVXKyqSlpz6op+TrIYlb1j0bKdFcT0d2+t4h3X/cogpDxGxd1491v2Vbrk8qnAWCAiI6gBfYEAITlOYm3vtchOYWGT5N8QutyYvhcn0q6p+Qh/5DIAX7Wlel8FUGka8yE6hoHpcW50Wmevz48Hc0R8+DrPiWV8Cz8N0ly9htPrXW2WXf1O2vtt778M7X2Gbt/rtZOj9xfax89+hM8NfEAAMa6pzLYuPb5AADO1+7RltmUfUK5OxFJeqauaYPJzDjmepFKAOip+5mmReLrvHui1v7rfSLD/Nwv/Lqzr9/u/atae/19F8j2x+QZT86o5JB5OfeOUbnn+nJuNvHdvU+vtb+16We19sDQj2vthFI+u8dUcjqVOE4pLfCUrHHbj47h9z/+OMKQ8abL1uIPX71edawcqpXPaLrMOGdiylk2kJP32xr1HnwsKdLi4yTy2GGIPDRWkuip/Xnpc6zU6xzjUEq2OS0pktCODnknDKfE1v1KFu/Jy3XMFlTdnUgoqa7D40o/zSWI03JP3BQE93iqHtwKST+aEHOT9LUzCw5WVIXFS1GpAXAHEe1i5gciXW9m5rdFtu0H8H4AO1Gx1F3VbY+15OyNRROEjN//4RS++psbsbE7gWf93V5cuXcW52zMRruaPVcJzCGenLgfZ/RdjKSfwUNjP0F/z5nIZdZEu5pNVwFBwPidjzyGL19/DjYOpvDst9+LV17cg3M256JdzZ7GkmEQSt7q0YEaOdNahUVmLgI4XmGxEV4O4HZmHq0+LLcDuGxpp2q0gjtHytje5WN7fxKpBOFXn9aJW+4Ya3Rzs2cbMpU/goyfQzqRg0cehnrPw+j4QwtvWMFs2mbc8dAUTtuQwfb1GaSSHn71hYP40vcbHmuYPY2GYAJK5M35tCuNyED1KixeUqffLxPRCwA8DOCdzPxUzLbR6oyoVnW8BgA2DySRfnwGqS6RUsKcuFCDlLitovVmiko6iqsBMa0ieA6QJN56qCRSyHggM9Z7fDeaIlCJ5Dpy4rbs6Rafb8eUGDydrh8bpusElSNJ4QrK1TkzI+1J3c7Xd7XPKHmoHAnsCcMZ7D5UxhqEmHqw8vIbnCrgp6MllO+pXO/sdO/x7ku2J+DaNJ3qRXrSvQ5fmXl+rX3W2s/V2oWk+MLXZ1RkRlb+qkxnlEs9Wk9FyzKqrRPv6WsfNpBgy5svomWRaKlIn8fMXUecfi97Um7mBy8TaeOVn3hlrd39kY8DAGbv+Td0fqeA3gt+FwCQ3/dNjB97ENntLwTWr9O7bckzumldCoUugq/d68qtraOB5quJoxOlhUldU0fV7UlIJ19dO20RelLkiys+4h7w0uf831r7dZe/pNZ+8Pv/u9Ye2CdShI4GUuWH0HPIjWIppc+rtf8zLUn7OtcqWXKdyEPb1O3fPakiWpSUkajKQ09NFDG8Pl17v21Yn8Id908irCaeVNe0Zc/oxvUpbDvg1ntar6Iot3WMSbtLJKF9aYk8eygh9az2JCQK63BJru9k2b2Oewtyavq9O5LqrbVPS8kxtiVEhl+TEsm3T70zO/Pu85pVNaG0NJdYZOBj6EW/q3etX3856r/+IxLS4s6jVTAIRVo9scutukxfArCVmc9HZSS/8DwGBTPfwMw7mXnnUJfN+W0DxtCEPQHXpslEx8IbGMvNGFr0jA72LqGIodFqxtDCZ3Sg32x6qsEASuTP+bQrjQxWFqywyMxHmfn4jNFPArio0W2NE8u6DGG/8srsnwmxoWvODRqYPVcP6Z4NyM+KZyY/ewTpzGC0m9l0lbBhKI29h2Xm7b4jRQwPpKPdzJ5GUzAIRSTmfNqVRs6sVmERlZv+KgCv0x2IaD0zH88odAWAB6vt2wD8KREdnxr+MgDvnu9gnA9QfvgYEkPi9vdVJIin6uD4ndHTl7FXMaMkADUkm/RkX48HMsN+z6zIQJNFSVLWm5ZERQDQ4YnLd6M/UmtPpWXGeimlkmIl60sIYTE+akfLQNOz0h5XyZEmVC40rWTknXo4rrwEAJuYsWcqxD2PTGFtmvC53UV88jk+Jn42BgDoqNQs0n9mNWVPAKB01xw5YM/Rp9Xa394oCb6C/gdr7ZLyw69Lia37ITZMRyKpfHUtdfq0YFZ8vmGxvjbBwTyaxSLhBuSlOMkKAEKVNDDxFfm/5va7/qnWPvqKSiK5cpmx49ZH0PeX/4zccAe+feG30POX1+K+HVl4hYcrnd/XOpuGXkVy1TKQ21YJ0LRUNE8UlpaEyspwWvZNenIP6CffuXIjs/ob0l+VCjdf/J7IjQ++7iu19s+f/f9q7ey9z6u1ew/1yrEL7oC+97BEu5TSF9Tan/PUcz30H7X2S9bJfb01LRelb0L2m52pXITzntGJ3dfO4pHRPDYMpfC5b47gH99/BsrZyi+tXtOWPqMAkJlx78EOdW79KoHmsKqddlanXO+nd4vstb/z4Vp7X1aS6z0GR5bE3kCi4KZV8rjxQLbZA5GXplXtpk0ZGaBvUNFKQxF9p0+F5OioIU0jNXyi0UBa+nGTmEo7iHEH6AKCiRbKzIshBKFAq8ejtuBgpcEKi+8goisAlFGpsPjG6rajRPRBVAY8AHAtM4/OOYhxwkgQ4V3DPt5wbwkhA7+yzsdZ3T6uuz+PC/p8vLryXlhDRPfD7LkqSCQIz/rwC/DVy28BB4zMFa9Fcsd2TH74BqTPfDoyL34xYDZdNSQShD//w+141TseQBAyfv2Va3HO9hw++PdP4hlndeKVz+4HzJ5GkzAIBZxEgxWgoQqL70bM6J2ZbwRwYxPnaLSY53d7+IXN7k367nMz+us+Zt5Zb1uzZ3uy6fKt2HT5VgDAl/e8HgDQ9TvXwCvU/lo1m64iLn1+H15xiar0XAb+6Dc319owexpNEoKQP9kGK4ZhGIZhnDwwPBS4fq2xdqTtBithIcD0nglkpmS+QnJKdEqvXzwAfuB4A5BIqAvfK01drGnE66y1n5yVsLmj0zJ/pZyXPkHojjyPpkQDn0jLeeUTMmdF65dx6DkNQdntn1dzVibUPJVjEqmHcTVnRW+upsLAp+h5KD1dbaTnyBSmWl/IsLAugZGtbgg4TUjG4G9OyDwBiFSNUq/o3iVffnyiLDbpn3YfNn9aTURUc1AoJeKxM59EF91z2o3NX4mbm9LInBVNdM6KO59Fzj1Uc28GvifX9O8O3VVr/+SiH9Ta/9ZTKbj3F4s6m/lhAgqZ0MnCqbOyavRcJfbi1/kFfb1kX0Unk7UsT+v5K+paRacI+OraBeqhOfOGo7X2Y1v/uNb+99fJAd9xqOY8Rvax8539dh7rrbVzE3LTju09u9a+RaWkLQ/IBIcXDko+zdPVZJ++hDsvJjejQm511tvWP6IIPEY+596zuSllX/XuSam5LZ2jcs5r1PmfruyWz8k8v7FuN//PSKfMczmUE5se9WX+yhGSOYRathiFek+rEPdS1s06XvJksvKg806sH9IcV+BwvtBlPU+lpP6/Kfm6T/39Jhf5rmgVFc+KDVYMwzAMw2hTQniY4jlZkdsWG6wYhmEYxilGCELeZKClE5RCjB2YRafKOJpVYZxp5TLzM+7pkyp8p112kyr8cT9L/omDqsBWeVzqqHiqimIxodJYwg2vKygXWpyLj7WLOiZELYwUftNFCidUW0s/x0r195VQ7shp99Tha7clq0KPRZVJdaYx+WMx7Eg+ivB5X3CWhYfOqbVHRrfX2t9UffJdIukE3RLenClJuGTnmPuwZUfFTewVtQwkLmou1s9mixgZaF5JJ0ZGWixzZCAlW0FLQqn6sZCJMTH2OQ+r+/LMipu9lTJQ6DFmsiEyhbg0Teqed4odRn6juu91iLNerrcpqD8CC10qE7Av74HodEH9zPmqHSqZOXxK5LRf+pg8ZK8874O19sdf0uvs968O/rZsf+i0WjtRkHfHzMjWWvurvhSgLPfI+Zb65b4+XVc1BNCvVKHcrFzrOMmtGco+cLTX1ZfKStZxsnKrJL1avkuq91NSlB/kVKWA3sOuhTapx1dLftOdcpDxTrHPwW453sG0bDDhSVsXqAWAIK3vU9GzAnVzduaVJBRTZHC+QoY6RNmRhJQNdS3X+GKHJw5mQj6ck7+nbWm7wYphGIZhGMtLCA8FtsGKYRiGYRhtCoOQt8HK0imXGUdHynMiZI7jZ1WRs6Fs3T4AkFdFuMaS8jP3liVj4uSMFDJMTfXW2rqQWqHTdVsGvMhLpgsqakkoxp0PAFoVKqlZ6jOBcokr93hiTtRPfXSAS15lE9XtmZgMj82QORbiT9J/6yz73aHfqbUnDkgExYiSh75VVvZVKSd6eyTyZbjb/e0ZFVFAWgbSUkqgbKhlnFh5yPXTNiIdLRYd8QO4co+WsCirzj05p0wCACA9Kee05VDrH/HQA6YzYSQ6Qr5ot7aO4IlmMaa5CZbnoGWGjLrnlVLrtNHr/l799OrTdZ4/JTPreyD5oESV/M5BFQ4D4HUXXldrf/Tpkt3+X0ZeLZ0mRVqemJL3zne9Z0kfVdcv6JEoIQA43ZNjDigJIue1vvJdSMDhLvdZmsqoSKWsHLNbFSXVEUMJpWJpu2mJLzHtGj0xK9unJqWdOybtvqxYcYOy9XivSHkH+uRaPdXhvrNnPNGajqS1bCwn7Icqy23MvTwnGki9d+MkIae/Wp7XkuQK/S8cMqEQ2pwVwzAMwzDaFIaHgs1ZMQzDMAyjXWEQijZYWTpBCIxNh0go93EmJ37EXEwROgAI0rLNtJKBjvriaz0wK4W0wllJNpTMywzyQEcAea7bMu3JlPe0ciN6MUoMKxlIu/B91U5GJCHt3W+kxpWe7K5VgkiwVJxqgLxy05aWI0FRyHj+3a5r9ucu/k6t/cVDZ9TaHYdV0TLl3/9+QiKAzul5vNa+IOeWPenNyMXQkiH0Nda/Ubn9HeklRh6as061HVM1Igkp6ScaDeREAMUZVRX15KTalzp0bqr1kkHgAeNZN5pCu8s95e/WRQ2jycxCVeRzviKH9fqklEn0cx9EvNqkKoondASGul7IqHtA21oXyYyE1g3dJ9u/59BTtfbLLvrzWvvjm15Ya/9w7JJae7IgmuZPEufKaeRUOA0Av+sR9U3eNVE5ohUQz41oHFfXdSapElVmpd3bUV8eSuWVvKMUNK/svoS0XERl2a9TGFNFPzmyUV721anu875+90Z7XH0/mpT/nI+mVOQgi3171M2cjom6XApO1I+6DAGtUCFDJhRNBjIMwzAMo11heCjZYMUwDMMwjHaFmVCKuiLbmLYbrDBXImDKMdFAjrs8MutblfTBMVXn4gBJ1M9YqVc6qRozrHx05ZS4Y5Npld0IQI8vCYq6WaSJTEy9Dmemt3Lh+yrKKN3hmiGTLqlN5Lxyfv1r0puS5X1qtnxv1nUvppXbveC43Ze5NoVHyB5w3egvCu+ttb+YlWuqa650jEvNlcPKDg93SfRFMSk1XgAg1JEzOjJISz866ZiWh7TEGCMPAXBkJIqJDGoIfS9HZSAtU6jfhIy0Q91WkpeWRZajjkyZCKNpH7rWlK5vklDtlEo4qCODAFeu0pJQI2hJSEsJHLmOer9Btr4OSlpCK8VopZHEjfp7YlKuw0X3yMv/A9u+W2t/fvjRWvuWqZfU2hPqfXR/cYdziJ70VK2d6dhba/thA2FUi8RjoMcNeHLq2syoV+2oeq/MpJQ8lFPy0JSSaKbl+mp5CACSKmGnX1SRnnHyUF5HGamoHUdudP9fSATyECQH5EfqyKDRtH4HS/8uFfGTXMJl92PU4MwK1QNyoTm179qZthusGIZhGIaxvDATgmD1DFYamqpFRJcR0UNEtJuI3lVn/e8R0QNEdA8RfZ2Itqh1ARHdXf3sauXJG0vjh9OMN+4N8Ya9IT4zVneEv9bsubq47Y5jOPc3foKz3/hj/MW/7K3XxWy6ihj56sP4yJm34cOnfwXfvf6hel3MnkZzVAcr0U+7sqBnhYh8AB8DcCmAvQDuIKJdzKwzGP0EwE5mniGi3wbw5wBeU103y8wXNHpCngd0Zgi5nKpFoWSSpEoEFwy5YVdj/eKn0+XGD4YDtfZMSbQinfytmJFaFOVukRYGsyPOMYYTB2vt7lBcimnlbvfUtHrHLa0T2vXIuad7Xd2wq1tm/vdPyW/KK2msqNzQ3WrzwS65bl05dyyaSAABM/76iQAfP83H2gTw+j0BXtjtYVtVOqgELwUzaJE9KwcmUMn1h555TEldqnhIdlKuS2ZKbDjdU3sX44lNUtMp9O529qslEG1fp96MOhcnikZFPFBc9FD0ezPu3PlkIPVdnyOr0K8wXfl9QcB4x8cew39+6FwMD6XwvGvuwSte1I+zt+XA0r1lNg2IMOZnkEnIM5NLyHXIKvmgrN4wiaiaptY1Uh9FR8H4KsrOqSs0xx4q+ZYjNcm94SX1vbH4yAz9jGv5Yt0B+YG/TDKATGz4aq395dnn1drHqpIQByHu/51b8bKvvAbZjV346rP+BT+64gysP6fy7splR4EW2hOoXKV0pCZOViV561SBSjNKdi4oG44rCbqQkPfWbFqM2zPlymzZGVXzSOc79PQ11XKPrhulpUDZNu25v6PPqy/xYEB+oI4MmtQSLOTco1J/nCykI0Odtuqv5aFkjLy/3DATuNTa0GUi6gdwM4CtAB4H8KvMfKxOvwDA8bkATzLzFQvtuxHPysUAdjPzo8xcBPBZAFfqDsz8TWY+/ub6AYCNMNqSe6cZmzOEjSlC0iO8vMfDf0/PeVgmzZ6rhzsemsJpw1ls25BBKunh1S8dxH99ZzTazWy6Spi+83Gktw+ic3sv/JSPza85E/fecjjazexpNAkBQXLupzneBeDrzLwDwNer3+sxy8wXVD8LDlSAxgYrwwCeUt/3VpfF8WYAX1bfM0R0JxH9gIh+sZGTMpaPwyVgnbof1ySBkfknYZo925x9I0UMrxH32vCaFPYfKc6zhdm0nSkeGEdqWHKx5Ia7ML4vP88WZk9jCTBVgkyin+a4EsBN1fZNAH6x2R0ep6UTbIno9QB2AnihWryFmfcR0XYA3yCie5l5T2S7awBcAwAbUsDawQR6h+Tl27VdokL8M3pr7dFh16W4t19e0E8lhmrtJwoytiqWJPkbK79ckJFoEy8rNUHWpg85x1hL4tHqKqtkdaqmTkL956/c8OC0cj33yO9L9eviJkD3mPyOobz4CxO+nG9Zubu13NOjaqNkcu718TxCV1BGpljGYPU/t66gjFy5jPVrKtv5CQIerhxnqfasbluz6eY1KUfKAIC+SXXOg3JNUzMqsdQh8e32DoqUNxHI/RCl7ChqOumYWppQdtBRZ9pWToRIvEYxV3aobh+Xzc+rvzzan5VkwUo/0dFlxyWvIFNZfjyHXjlZ+V50b6vK+bbgGe3dnMUhrwddCbFPp7rpy8qtHSo/eDQayKm7MvdUAbjPj0bbWZdV8sqNyThaLnSS0yUa2z7uvLQddbRT74QY7gUd+2vto9331No/yp8PAJj2CkhQGUeDyoBlKswhyVk8xZV32lBKouda9Yyu2zg3hFVLFTo5Wses/Piikk4LSk7Lq//zpjL6fpgvpKb+RWVHElK9Y/7Iii5PajlrWp79NWl1vj1yXtO+em+q3xFGilvpJJtaEtLSTzJG+tFv5qVEGbUCYg9e/dDlQSK6U32/gZlvaHC3a5n5QLV9EMDamH6Z6jHKAK5n5v9YaMeNDFb2Adikvm+sLnMgopcCeA+AFzJz7ZZi5n3Vfx8lom8BuBCA8+BUL8QNAPC0zrhcsEYrWJch7FPhfwcKjLXpuS/oZuxZXV+z6UU7Os2my8iGoTT2HZI38v5DRawfmvsSatUzunFnr9lzGUlt6EFhn/zBlN83gb7h3Jx+rXxGz7mgw2x6ykGg+p6UEWbeGbsV0dcArKuz6j36CzMzUWyV3YYG1JpGZKA7AOwgom1ElAJwFQBnhjkRXQjgEwCuYObDankfEaWr7UEAzwXglhY1TigX9Hh4bDrEk7MhiiHjS4fKeEn/nNsgC7PnquGiszqx58lZPL4vj2IpxL/fNoLLXtQf7WY2XSV0X7QRs7tHMPPYKMJiGQc/fy9Ov2LOlBSzp9EUxAS/lJzzWQhmfikzn1fncwuAQ0S0HgCq/86ZbFXdR21ADeBbqAyo52VBzwozl4nobQBuQ8V7dSMz309E1wK4k5l3AfgLAJ0APk+VOgfHZ/eeDeATRBSiMjC6PhJFNIdk1seGp/UiPdxRW6aln/EzxLf92EZXl9/dKdvcE5xWa+/PS/RIuSjRRDpahFUBi3RKohx0EjgA6IaKgFDJihKqLjjpaCA1DgiVLOOrEJ7kOvevpg6dkEy5lbsnRMtQFc2R7VLSz4DM7k501r/xPpxO443fHkcQAr9+Vg7POy+LP/nJNJ4xkMAV53QC3z6wCcAsWmBPAGDf/e0AkFL1PnqTIgOpABPQMfnrMjcust58fwKW63o1Xfe+FyPTxclDvMiEZZUd6HsgRvrx6rcBV05wpJ+6bcJ179mGV/3OAwgDxmt+eQ22n5vFB//mCVxwTicu+7l+oOIdbYlNS0hgHw9ivSd2K6nsc4G+553f6Fou1NelgT+b4qQXN0rIXaelJu3Fj93XEmSguFo9QczbtW9ajnFe1xO19uOJ6nsqAez88Itx1yv/CRyEWPeGZ6J89mn4yh99HwM712LTL3YBLbQnUJm+UIpEpeioRm06FeiDTiXbqpycyKfry0PRazWj6gzF1Zdy1RcdaYm6hPP8r6Yl+i4VidSj6kPllaw+48vOQnL1moyq/5WOSR7nJIVTvz0ZqGvbQCTcssAEr/k5KlF2AbgawPXVf2+JdiCiPgAzzFxQA+o/j/aL0tCcFWa+FcCtkWXvU+2Xxmz3PQBPa+QYxonjsm0ZXKpm2YbFAO+9sEN3ebieG9Ds2b5c+oI+XPqCyhyH4+HCf/COzfpFaDZdRax/xWm4+NJL1JJ9uOCPn11t/wwwexpNQkxzsv22gOsBfI6I3gzgCQC/CgBEtBPAbzHzW7DEAbVlsDUMwzCMUw0mJBqQfRa1S+ajAF5SZ/mdAN5SbS9pQG2DFcMwDMM4xTg+Z2W10HaDFa87hezLNqHULxdxVAU/PbZB5qk82O1IF/gRzqy175s9S7afUhOXZ7tqTVIJcDh0C+01gpJ0HS02UNk8y6pQl5dVOmyPHNuD+zsyWTFLSs1nCWdFcCUlzuswaNKVDOcpwKcL9Tl0p4CPHqi/bomwB5SzUWFfziXtqblH49LmMckknJqUOSu+LxNbwshk81JKf69f0C8uE2pcYb248GTAnVsSG84aMzclnGfOStw6595ST285UT9cWM87aBVFTmJfeR2enpDifHHPgj6XMDJ3p5kMtg7zzHfhFs0HiB67kTkr7MXYhOU6DJQkFncwOeZsf7g8WGuPq3D9Ub8TrYbJtSEQsaPKFhtS/XsqocLGu1VRQn1v5tPReUtct5++zynmHm5kDlO978fR91xOvf6TakLgdELe04Hn7iggNU9LvTwyqq2nAa1UiHIcxIREqe2GALGsnjM1DMMwDKM1MODHVRlvQ2ywYhiGYRinGMSERNkGK0ummCPsvdDHeKe42A6rnGJ7suIOvZPPdLa9e+bcWvvA5NZaO5wUd2pqqrfW1qHLWgQqFkV6GQ+6oJlIyrrphIRuzqaUGzCjw9K061C7M+XSJyLZXbVEpAMCdRhzkJFtZjtkuc5aGg0V9csLyyL5XOtzQ4WeZFc9jnb5FkKRsTLjEioeTIoMpCUaXUwyiLh4i6n6568lCC8mhJViJYN4KaURWScufDdW1oisi5N49HsmjNlvYv5SCkuizD6Olnsxk9RF0Kaa2ud81+I40fu5HtEsuYuVgRqRdKL94mWvmOVKupyvhl3A8o7Q76Gj3BO/0RIJAUT/yE468qcKpffqS5H6udKSkE5TkIhkGI5/XqWt5cK453U+WY5jzlfjx9wnJZKLkid3xyUVOx2gfnkLT92A+hbS94A3z/tlOSEG/KINVgzDMAzDaFMoJCQLNlgxDMMwDKNdYcAvrYxXZym03WBlJsW4eyNj0hcX8wFf3J4PBNtq7QfzO5xtD05trrXLMdJPMi8yjhfUH1UWZuV4hwpuHaZ9KYlKGU6M1tq9WSmEmAjq+xRDNZtcyxLJSNROoArXFVURsJmc7HcyJ/59XShsKiaDKwCommNIaxlI3a/5ZbgjmOZm8yyqrJaTZZH20qNHZLvirLRVdM46T+ShcsSPriWTuAgTLQ1EI1TqbTufRBEkFnb7l2P6aOZGYsTsV7mP4zLFapYjO2aZEzhaHEQhu/DNEieXAIDXRBmw+Mggd5+NyEDznaMsn08GWpx9dQDGtMqaPMVZaCbLIv2kPIkaGgn60HJa8H+WK11KO6lkoKjcol9Xcc+Jvk+ism+9/nOjgervV8uoWgLT0U5F9V/kNGnZE0jE6MY+xFZJFUVVUuehlf/EihUydAu8tjttN1gxDMMwDGOZYcArrZ76lTZYMQzDMIxTDQaotFKFiRZP2w1WZiiNO1NbMcYSBXOwJJLOU8VhWT4z7GxbmhU5wSuI3JNQITLJgrjy4mSg8nRvrT3WscZZtycjUtNwWiSL3rQqhFgWv56vEgw5hcHUPRKNYChkZOWxbtnX4S4ZBR9JS8TQoYRKGKWihwK4v68Dco455apMsByjTMsw4aqODDSZk2MemZZCk/3TUryQfPmN032iW3WQ/I58JAFjNllfBnLcymH9dhyNSgBx0TlaqoqTbqLJ7TTONlR/uUYnn0rHyFzNELKPqWI3CphHc6y33XyFDBd7Do3Ui29w+4YieKLSAtXvp9HPu5Y4ZlQEzFFf3lOHiiIxA8BMSZ7lvCcS0dFk62UgBhA0eavEXa9Gk//FJTCMi+CJu+6NykBFpYtr+XvaU+8dJf1MRJJ3+lDvefXDkup9mlHL3Yiw+PM9URCzDVYMwzAMw2hjmIHSMuQ2WCZssGIYhmEYpxoMkA1Wls5kmMN3Znc6CZFmAnGVThYlUkcnbwPgZB7TCd/i0AnbtDyUnpZZ+DPTrst1f04kiyeS+2rtoYTIF7m0JDbTiZVSpfoSRdQ1qutnHFNJ2p7Kiit4t7e+1v5ZaWutfaAkdZB0sjXArcHT7U/U2h3eDFxuQythRGv2AKPKdOHu06RvXq6p1y1u8YlBuaYJ5X4tRVyoJSW5KG+uM+O+ERmoUQlAu/f1sbX0oyMNYiWdeeqyaHS/+RKK1TunVsGhj0KhC+MsbvGSknS0pDVfaaI4aa6R/o2i7RO3r/jIq/p9Gj0XvU1ByZPHVNLI3ZD3yf68tAFgtijvId+XsI1jpd6FD94CdA0jp91Avam4pIbzbRsn6zRyjKU8rzqKcjwtG+U9FQEE+T8lGq2l30M6MiitQmwyKvtmRkWJxkm4J5RV5llp6JIR0WVE9BAR7Said9VZnyaim6vrf0hEW9W6d1eXP0REL2/huRtNcOSrj+DbT/sIvnXOh/GzP//BnPVm09XFD28fx+svvBeve/q9+KcP1S1ESWbP1cPk1+7Fwef9Lxx4zm9i4iOfr9fF7Gk0BzNQKs39tCkLDlaIyAfwMQCvAHAOgNcS0TmRbm8GcIyZTwfwIQB/Vt32HABXATgXwGUAPl7dn7GCcBDi/t+5Fc+85dfwgrvfiidvfhATD4xEu5lNVwlBwPjr338Sf/7vZ+CmO87FV/9tFI/9bDbabRBmz1UBByH2/59/xuC//DHWfevjmL3l2yg+9FS0m9nTaA4OwcXinE+70ogMdDGA3cz8KAAQ0WcBXAngAdXnSgAfqLa/AOCjRETV5Z9l5gKAx4hod3V/3487WDHM4PHJHSCqnyknCETaCMtukp4432zoyb44xt+sS2WnZsXdV1CRQYAbHfRoWiKD1mUkUVlHSgyeDCVyJancgJ4qZuGFrvtzNi39tHvysCdRP1r6eXDmrFp7dEpkoDAqk1WvQ/Gu+xFs3ordvS8DpgDvij340edn0fe7O5H0a+feMpsCjHzGve5a0trwiJKBgsfldPslId90r9RhKqsop0LkDtbyS1JpJqGODFKvbi92hn68W7kRuSe2raMkSEsn7jH0ujh8rhz7wTunsX57GkOnVZ6Hl/5yP7795TFsOTur5YdeADdV203Zk0MfPNODMRaZoqhkoMC5drod/U31a880Q6NyzWJrLM0XrRWHTv6m5dwn0/IcP1SSJJeThYrkXLjjZ/C3DoOGtyAEkPmFn8PUrXeha/vpAICJigzUixbZ8zjzKYaOdMr1l2tcO9SvKzTfMdx9LXyMOBsCrgQ3q+TocVWvbDIhxpok9f5n+f8mz5H/b2JIk7z/O1Q772upSEUJLeHeagnMQKl9BydRGpGBhgHoYf3e6rK6fZi5DGAcwECD2xonmPDQCPwNMh8ksWEAwYHRaDez6SphZH8RazbKS3VoQwpHDsx5CaVg9lwVlA+OIrFB0jV46wcRHDga7Wb2NJqDGSgV5n7alLaYYEtE1wC4pvq18MTaV923kufTKHtV++vuqkEAc3SV1vJfzWzcB6B75jNffaL6vR9A58SNtz1Z/X4mgCfqbtkgUZtu2/bDeWyaiV91nL+R5nubObGlcQLs2RR9ALq/fNOIY89/+/sjT6o+FzZzgKg9D575rPv+Xq3/+zrbtDltYtNv1FvYB6B76l+/5thz5qb/bJk9gbk2fU7vnavivRtDm9izKc48kQdjDsFtPDiJ0shgZR+ATer7xuqyen32ElECQA+Aow1uC2a+AcANAEBEdzLzzkZ/QDvS7r+BiJ4N4APM/PLq93cDADNfV/1+Jyr2M5ui/c9/IXtWl43D7FmjnX/DibBndX8njU1X+/kDtffuiYNDcH7qhB6yGRqRge4AsIOIthFRCpXJW7sifXYBuLrafjWAbzAzV5dfVY0s2QZgB4AftebUjSYwm55cNGLPMZg9VwtmT2P5CUNwcXbOp11Z0LPCzGUiehsqyTd8ADcy8/1EdC2AO5l5F4B/APDp6mSuUVQeLlT7fQ6VybhlAG9l5vozZ40TxkI2rXYzm64SGnxGRwAMmD3bH7OncULgEFxq38FJFGJur6qLRHRN1T25alntv6HV52/XY+Vp5W+w67Hy2DPqstrPHzjxv6G7ezvvvPhP5yz/5tdfe1c7SmptN1gxDMMwDGN56erayhc944/mLP/2d97SloOVtogGMgzDMAzjBMIhuDi90mfRMCtWoYCaSOHfLjTwG95IREeI6O7q5y0rcZ5xENGNRHSYiOqGLFKFv6n+vnuI6BkL7G9V29TsOaf/qrYnYDat039V29Ts2UI4RFicnvNpV1ZksEJNpPBvFxr8DQBwMzNfUP188oSe5MJ8CpWU3HG8ApVogh2o5GP427iOq92mZk+X1W5PwGwaZbXb1OzZWpgDhKXJOZ92ZaU8K7UU/sxcBHA8hb/mSrjppF9C1EAO8hNHI7+hrWHm76ASSRDHlQD+iSv8AEAvEa2P6bvabWr2dFnt9gTMplFWu03Nnq0kDBEWp+Z82pWVGqw0k8K/XWg0rfUvV915XyCiTXXWtzOLSd292m1q9lx833a2J2A2XUrfdrap2bOFMAcIixNzPu3Kis1ZOUX4EoCtzHw+gNshf7EYqxOz58mH2fTkwuzZKDZYaYjFpPAHuemk24UFfwMzH+VK9VMA+CSAi07QubWKhlN3N9i3nW1q9lx833a2J2A2XUrfdrap2bOV2GClIZpJ994uLPgbIlrjFQAePIHn1wp2AXhDdYb6swCMM/OBmL6r3aZmT5fVbk/AbBpltdvU7NlCZsqTt/34yNfvin7QrgUhmXlFPgAuB/AwgD0A3lNddi2AK6rtDIDPA9iNSm2L7St1rk38husA3A/gpwC+CeCslT7nyPl/BsABACVUtNE3A/gtAL9VXU+ozL7fA+BeADtPZpuaPU8ue5pNTz6bmj1P3Y9lsDUMwzAMo62xCbaGYRiGYbQ1NlgxDMMwDKOtscGKYRiGYRhtjQ1WDMMwDMNoa2ywYhiGYRhGW2ODFcMwDMMw2hobrBiGYRiG0dbYYMUwDMMwjLbm/w+7LMdeHPKx3wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x360 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "u_ic, v_ic = sample_grf(2)\n",
    "pde = PDENodesCollector()\n",
    "u = pde.new_uf()\n",
    "v = pde.new_uf()\n",
    "pde.set_ic(u, u_ic, x=x_fenc, y=y_fenc)\n",
    "pde.set_ic(v, v_ic, x=x_fenc, y=y_fenc)\n",
    "pde.sum_eq0(u.dt, (u * u).dx, (u * v).dy, -(1e-3 * (u.dx.dx + u.dy.dy)))\n",
    "pde.sum_eq0(v.dt, (u * v).dx, (v * v).dy, -(1e-3 * (v.dx.dx + v.dy.dy)))\n",
    "pde_dag = pde.gen_dag(config)\n",
    "u_pred = infer_plot_2d(model, pde_dag, x_plot, y_plot, snap_t=np.linspace(0, 1, 4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 二维不可压 NS 方程（守恒形式）\n",
    "\n",
    "- PDE 形式: $u_t+(u^2)_x+(uv)_y+p_x-10^{-3}\\Delta u=0$，$v_t+(uv)_x+(v^2)_y+p_y-10^{-3}\\Delta v=0$，$u_x+v_y=0$\n",
    "\n",
    "- 初始条件： $u(0,x,y),v(0,x,y)$ 均为高斯随机场（GRF）\n",
    "\n",
    "- 边界条件：周期边界条件"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x540 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pde = PDENodesCollector()\n",
    "u = pde.new_uf()\n",
    "v = pde.new_uf()\n",
    "p = pde.new_uf()\n",
    "pde.set_ic(u, u_ic, x=x_fenc, y=y_fenc)\n",
    "pde.set_ic(v, v_ic, x=x_fenc, y=y_fenc)\n",
    "pde.sum_eq0(u.dt, (u * u).dx, (u * v).dy, p.dx, -(1e-3 * (u.dx.dx + u.dy.dy)))\n",
    "pde.sum_eq0(v.dt, (u * v).dx, (v * v).dy, p.dy, -(1e-3 * (v.dx.dx + v.dy.dy)))\n",
    "pde.sum_eq0(u.dx, v.dy)\n",
    "pde_dag = pde.gen_dag(config)\n",
    "u_pred = infer_plot_2d(model, pde_dag, x_plot, y_plot, snap_t=np.linspace(0, 1, 4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 复杂区域、边界条件的指定方式\n",
    "\n",
    "- 对于非周期边界，需要显式指定未知场变量的定义域，以及边界的位置。\n",
    "- 定义域、边界的位置均可使用符号距离函数（SDF）表示。集合 $S$ 的 SDF 定义为 $\\mathrm{SDF}_S(r)=d(r,S)-d(r,S^c)$，其中 $r=(x,y)$。这个函数在 $S$ 内部取值为负，外部取值为正。\n",
    "- 若定义域仍然为方形区域，且沿其中一个轴为周期边界，则计算 SDF 时不考虑这个周期边界，仅考虑非周期的边界。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 周期 + Dirichlet 边界对流扩散方程\n",
    "\n",
    "- PDE 形式: $u_{t} + (-0.2u)_x + (0.5u^2)_y - 3\\times 10^{-3}\\Delta u = 0$\n",
    "\n",
    "- 初始条件： $u(0,x,y) = \\sin(2\\pi x)\\cos(4\\pi y)$\n",
    "\n",
    "- 边界条件：方形区域上下为周期边界，左边界 $u|_L=0$，右边界 $(u+g(x,y))|_R=0$，其中 $g(x,y)=\\sin(2\\pi y)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# prepare IC and domain\n",
    "u_ic = np.sin(2 * np.pi * x_fenc) * np.cos(4 * np.pi * y_fenc)\n",
    "pde = PDENodesCollector()\n",
    "boundary_l = pde.new_domain(sdf_values=x_fenc, x=x_fenc, y=y_fenc)\n",
    "boundary_r = pde.new_domain(1 - x_fenc, x=x_fenc, y=y_fenc)\n",
    "domain = pde.new_domain(np.maximum(-x_fenc, x_fenc - 1), x=x_fenc, y=y_fenc)\n",
    "\n",
    "# specify PDE and BC\n",
    "u = pde.new_uf(domain)\n",
    "pde.set_ic(u, u_ic, x=x_fenc, y=y_fenc)\n",
    "pde.sum_eq0(u.dt, (-0.2 * u).dx, (0.5 * u.square).dy, -(3e-3 * (u.dx.dx + u.dy.dy)))\n",
    "pde.bc_sum_eq0(boundary_l, u)\n",
    "g = pde.new_coef_field(np.sin(2 * np.pi * y_fenc), x=x_fenc, y=y_fenc)\n",
    "pde.bc_sum_eq0(boundary_r, u, g)\n",
    "\n",
    "# inference and plot\n",
    "pde_dag = pde.gen_dag(config)\n",
    "u_pred = infer_plot_2d(model, pde_dag, x_plot, y_plot)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 周期 + Neumann 边界波方程\n",
    "\n",
    "- PDE 形式: $u_{tt}-\\nabla\\cdot(c^2\\nabla u)=0$，其中 $c^2=2$\n",
    "\n",
    "- 初始条件：$u(0,x,y) = \\sin(2\\pi x)\\cos(4\\pi y)$，$u_t(0,x,y)=0$\n",
    "\n",
    "- 边界条件：方形区域上下为周期边界，左右边界 $\\frac{\\partial}{\\partial n}u|_{LR}=0$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rFnmUPVehL83yBDsROE36fA2LQznWdLUOGAFahZbyT9wkTmKU7l6XBU9el5iPoMMjas+wCZ08CwjD6iQAYHCIy24oPUXXDy4lZf3EiWuByjVQOPE1NFpVAEAUMZtkV2dUssxGjBcumuuyoZtGiT6f4e8C9F3LlABAwyx7aik6LhIz8gB0H3ZmDrAKPQ9mzCxaHl+rpukZ1XUxdVxVcd3tbL8jhIb1PLUDb4jvJ5lF+elZXKG98Zd4MKjhB/f/efK/ZS2sDXKK27q1kZxtJWwS+Nnb7wyC2ayiJgYlq/k4zyxl6Co+n2W4mkjP8gLx3UWf2u7FMtevljfC1H18XDIblSsZzMoIX+TIspNkKfxcNGxJQzzflhIrZNaBOT+Pv65em/yfM+2pBBbdWluVYr63vKY2kY+4r7DbPWxI1PsX4Hvrx7xIlsW2saJgDCqGIWkGoSij+o16zM4eUcT+LWSo3c8E3Fecy5GYdbLMIti2EYf74t0tedReJOOYV238Ybraa0I30LgwalZDil+TtmVJ/fR7lIkFe2b6jXyYOgyCSOkrHu6aFTLyuD6vcup8Gc3XH4rJLiXFLGQMYqIgSZtkwRZ/1++TB843+z2xLxvatrT1eeOUp+Dn/ZUP3CFwDImDg4ODg8NehGJJw27A7uFyHBwcHBwcHFYPpeBlvdRn5a+p1yilnjK5jd7RZ/9blFJTSqmHzOcnN6O62+eyUR4ezxxM/q9pihdSzzAdH1bSlLV1IVQVU5qWki2CaTcLSU/ba0hRn0Ve0Ocl4064I/dEUnZrltwowRDVZQAsWhrQdLykzDuGKl9QLPhbgLlHzWX23gaVOJ+h4yWN3oZ0k6wdw/4c3jz0F5jRtJ6+LoShLSPUku6ZxLXisWugAaLUL/kcx6WlaH9G1NW6CRZNgDlpbw7Exe6ZYU00cknz87O2lIGkGh6JzBY8tl8b2Z76Amw363oAgHMVer7SM9fwTT19ERTJuDVyOu0+WiuG4ibevPBI8n/RNLFc18Q/kVyzgQzOZWMotIVY0LoB+sSj64GluFu+dJPQe7Lo8f3aZ9RW3L6m/Iz5K+qSozL7DgEcM2M+YhFlLSaVqo0ZA/Dz74QizkyLHkQ3Wh5T5u+ufGNXwFxYxcfmOHZQ3oikR7PTSZkVAO/3uWzciKBH/YWkrBJRWxwI+Z0oGrGl1GnaEBSeiNhl9KsIpJ7dNCf5fK0QtiL8PV2z3Qq4/Vk3RcvUr+WxgPtmj4KrLuX4+YXm/ZNt2LqorHsKADJRvGGXTSPw8fUh88yV6GthBOiir7Po7WupTQ5o7mcKpt4eVqdAlq4T2w9lddpNkrXuoUiI3U3AROnqsS65nHAj2XdWunKzXSvI5eOsOLe3jL4TbsOvrfIAv7C2CyulfADvBfA9oIi99yul7tNaP7Hs0D/VWt+zOTUlOIbEwcHBwcFhL0IpqKyX+qyAVwA4pbV+TmvdAfBRUK6jq45tY0gieHgqOpr8/3iTIjZerF2TlCkThTC7yDNyz0THC7MsVOuU52mjwIIt5adVUnYZZT4nBGOl0wCA2/OPJ2W3gILp7e/wqH28QUPe0QW6/tglnj7mJ+la3rwMQUgj5bjC1+oM00ysURXLKQepTo08D6mbZtK4KJIgzWc29qgGow5eM38mEZs1RXCchYAKm4pnq9MezWAtqwMws1MHz3pmPbtsNM0ohGa829Z8XivKlELDgZi2q6EIX26EYJIJaBkR4EDA37WRLztyabGZIU75PHM/Z2b9M5rXmZ6LjCCwzYLAhZC+E+kAG5mtA0CpqXDn14R4uE7tRDVN2+z0mQGKaKZx0YQR5/gc6JTIIB2h/+wm0UfTyyRlu8oU6bpRTrAmNk0C2FbTcZX+RtWkbNJEDr3UYlZzwUQM1XVeqp9boCXteSFEz7SNyLLL91E2FI5c7tnJ9VE2rgXtEhrP35n8WysSozBZ4uWWLxSJGbGibQA4kiXx+nGfoysfCEi83hXMZceIr0ti+lu0zIdY9mtn2JIBs8vOvZ7X5PI0Vz8mJTLUTChSBHTNthTQJjP8Lp/fzux72J2VaLZVYF5X8LH29wAAGoIVWzLbragPQyKX92eoT7TMFQCM+vO0TwjVS8qkrRDL2S2jWhB9TyIqTdiQ9LOSzazYJhvkO2zAYpO2sy22j42IkFkUUVkXzQkb4oRds1++25alzG/Dz60HqLVrSPrlNbqrz3GvV0q9EsDTAH5Ga322zzFrgmNIHBwcHBwc9iCUUvAKQeoDCnT6gPi8bY2n/iSA41rrlwH4HIAPbUZ9t40h0VCYCXlmdWmB2JKBZ25Lyg4/SjOw4IUZ/l6TZiwqz6yJLtOsLR4WfuuimUkWeUTbGKRR9syhc0nZWUPS3JzjvCdjIQ2Hb7nII+QDz9NMN/skzboaD04m+84/RyxIbV4sKTUD5GKRx3zVMZrND5zkuo/cRDaIRM6dxXH6zswIn29qYGOahkJL4SVPZmFWI6NV5KlSvRSZa/BssFiimcjzAY+uE81A3Cfwklg2Z33EVpPSo+8w277wD1u/r2VFAKBiTidndNa/ns+KJZtmOrgg9CI1Re1A5gg5FVKajmdbvCx0qkHtprskonO16bueTKSxTnj1EPpz3NaWalTv0CSQlMH9bOK5oMSMSmaYmIXsfm4b2XGacUZDXL9uyTBRRX5W8vlaNA2D4svgUqYLuBRzsL7nOvRSnFvi1CYLdWKTvFlmSIYmKDt9dZLtV5w2M/Eas1iqaba73L5g/fi+mL0VC3g4VevVI+hkMPYC17ldpEbUqHKAq0XTR8icJO0i2bKdYw1EKzBlQmvSNbq1lsftr+Wn265dwpoL08+gEKY1CEGY1p94fcizJLmfZE/MCyLZjpyZ2QsS+Yo5YzaCZqeCx8+9ks4taDsV2VAI3E61sVVNMNmTRWKvLpVYFzOWo771QIbDHuw3DEpPADOTHKcgtDJ5E4iyZJ6HWLmOQZO7qtzkNlcwbEiBiWxkGibYY53Pqwz7raeZ3elO0Xa3xhfpLtB2JBJOKqMBCrZj+a2nLseQTGut7+y3A6vIa6S1nhH/vh/AezZSTQvHkDg4ODg4OOxFKABZL/25Mu4HcJ1S6hqlVBbAm0C5jvi0Sh0Q/94N4BubUV0Xh8TBwcHBwWEvQqk1a1e01qFS6h4AnwXgA/iA1vpxpdSvAnhAa30fgLcrpe4GEAKYBfCWzajutg1IFHrpzLhNIrihi8NJmf8kRSRsPf75pKwznR6IZYdO0vFVFslmhohazg1zWu7yAZtH6nBSNjmW1uFUDN02PM10Y/YZctXUv0Y5RM49zksEn7tA1N4ZLsKioWMrGXa7HBsgOu/kBLs3Dhjar/xSpswHjUtHxXKp78YEf15bo3i6BW3CCJfL/OiLI3abr7GYpe1iwHW1yzdrYplnaJqQdNkMmuWJNjJpWbE4eLXoLwy0WzJvCD2rjliyXDMTgHnN9TzboVTi1jVIB1AbKda4zbEAMwOWOK4P0VKI2cdEPgwjZo36UPk2RXiuKNxRxrUDQbPbFuGLiJXaCHtDIYK2wT/7CRdlLg+7lFumu79ohKvWTQMA/hQxuMMX2WVTvUjvbP4i11lNkxg0nuVcO3FjnuoZpd2OKsuiR1WspvavBV6kUJ7j82Xbxm0Qp2eEMkDAZGovIxQuy7ax87AQW7Y8OlNLCE1L1o3TEzaUtjPiWVqXTaYj2rgxZR9NfoKop9dWqeODJZNPqMGuUtXu4wPyNu6yybSKGP/GrXS6SLqe0jYPzQvcHBD5qYZNFFqdPj7n8VOy4QeqPvtW7LLmooi6W1zmqhlq8HkHFk2OsjrXM18z7hlhKy8Rq/IzjWepLt1L7HZsTVDf3Zzj6y8Z4Xqnk37Hs9mN23vN8LAaRiQFrfWnQAkXZdmviO1fBPCLG63ecjiGxMHBwcHBYS9CKcDlslkd8kIcBjPD6JnRdY0IsMbCwPbUQwCAOGLFVlgnvU22fmNSlm3dAAAIIp46eEUStBUWWSSouzQjbum0iFHJSYWZ2UghooWNvdMWgZAWjFCtKcoKZsY0WuPCwWkaeeenWCyVMRmKsy1mSPIbza0SxcBCJxFY+eI+clm69+KAWPrWNQxJXopVaVvm1bHZgGWZFa4mxwtRq490wDMbSK3r8bOyuT96lymac8gVdX3ySSR1EwHZOia/RyyCcwVtYgf8LttZmZldvxneWqEjnbAiANA1s6bYNJggSM+YPCE0TLJ0SvGh2daik7HLeOXMuZW32VHZWEkWZhEEzQaukhmUWyGV6TaX2ZxMvkit6ttlpSI3iRZBp/hAurDqV5bn5cEqn85RtFb0yy4rYZ+vzT8FAF3TBzRCZtRm/CoAICeYP9ucZBC5AbMseEDx+9syou6O7N+MiNsXtrIMiRZ1ttmovTUSorKvSrZlme2/RFvaDFFr0PEwfK502f1Rhu/NLjCIBGvcNu9gRzyPOE6LMJMsuiJcgF32WxJtbtBkm7bMiGVFAKC0YJb41rhO/gL97qgFwd610svydYeuIft/K1wNxXEtk+VaMiT2kXc628CQKCB2uWwcHBwcHBwcthNaKejMNgyE1gk3IHFwcHBwcNiL8IB4HRqS7cK2DkhKHguEcgUSQi6MsmipMr4fAJA/9q1JmZclelAK5PwCxfKQolbfiFq9MRbhxcNEDy9V5AJ9Oo+k95sBPcDGANNuxUN03dLNJIA8KHIkBAHdRznHdZpqpEVkIyY2SnVQrIMfNrlYxliMF1dNDATBYLdyfURpa4GvABHjQlL+cTKCFuJJc7l8zPTqiE8xAOp+Ok9JWVDWNsKija4oId03FtZlY+0OAL5Jd1/sptPYt6VrwqQ3t+cA2B0kr1X0Tc6dHLe57gAtpW9kmFq3cRM2w2XjBR4qo+wiCltUH+uW8XNc50yJbiozyK7DYNi4lETb0PtNHI0RfpY2jMriAN9v00RoXSiw/RbNM18SLoeWyQXkC5dbxgStUDkWI3cq5tm3RYhYg0qG65czMYFUnUXaXsvYV7grYCIP65yIU1HcWL6mKBNjcVREVjXuxlZJREsuGUGluLdMho7zVLpthlrEdjE5n+qiXdn23xZRjps+tfuuEHPHybsgXJsmiqiMQ+KHfdx4y1596ZqzzVQeoz3rCuK6eyYCcCy/uxkz5xjwuml3kNXjhyJS8JIJLrRU5ufRLdLzCPKi389SWxv0Wfw6quYB9Oa8GYioXQ0KwW7ZxGApLpFh8k2uUzaJL8J9mrJRViPpBzbfET/k/qB5j4XLJm9cNXE33Td3hRvHNvs4vrI78apAbdJz3iI4hsTBwcHBwWEPQqN3ELrTsY3LfoFRbz75/0CJlvievvbJpCzTeikAYGT0VUlZofbtqXNpE2mxK5iHlhFQtYvMWjQGTbbY/Rx0rliSAecIMxkaDZ/bx7P+0OR7GdpHS4fLN3OU2YHnaSR/+BTfz5JZEhYJpWvG5CYpHhF5PswS3+gYl9lIrRP7uO7T5Y2NrnXWQ/tIIRG3yXwmTcMENQtiVG92l2Kuwz6PZi6BUJXafDU9uWlM9mPfZNyUAla7HQpGI8mMLKKtRoqu2wj4WnYVpWVFAKDh0VRMCjVtnWQujGtylJ/IHxTRb/O0rLXZFSJnvXkCMK8UYOhb96fKla1/Sbx+Zaq/zV8DALGZ1S6V+FlZ1qxRZrvUTVuv57mNJPmQBBPWNEJSafu8plnmiM/LkyNz3WmRc2SxQPvrg7ycd9Fk7J1YYjFotkHbuSVm0aRoOLk33yyjzPFa+TCbzta9FoTZNqaPP8fXMNmNIVixIEv3VMpy27Az8qEM28DOzvNi6all3CSbahkmyaRY0WvoiXav7DNkm3omqqgfp5mZvMijYoWuVvwqybswSJcl9e3DtkjRbxhskHUFoD2gNWhy7OT53Voqt8xftn2zSkvCowGOypovm+zLRe6Tk9xCgcgtpOi7IyGfb9AITSui2ZRaJvJqko+G9/lWaCqZCsuCCDbEsseSRbb9pj/ObGDRMJe5/dzWy7N0wVgKYg37Endi4Kvp35urCe0B4caDTm8ZdtHYycHBwcHBwWEtiHbRr/wuqqqDg4ODg4PDaqEVEAXboF1ZJ7Y1Uuu4Yor05YXHAQC5I8y/nR0mN86lO0UiPTPc80QE0XyOBFGWegWArKFateZbzBla9ZCgYYcy8wB6RZmTHqkE4ypTds+ZKKv5o0RLlkQyrdEGUf4jNa5necGIqgRlaIMRNoQu0FLv0l0yV6JrTBf4+ovBxgR/7ZzG6ZNdeJpoXJkuvW1iBYiwJ0nMCpm+e59JLjbUJ/JqRovkYuY7NnBjS4jrWh6duAW+mKW4ZXyHhhEY+sI9ZN09PcchLbK0GBSp40s+taXDeY7LWc8T5VqP0/EvAhXh9y975tWhW/Ex+VqOAmvp8k7W/M2kn0HXl26z2JSJc5rtrqDoE2GvcBFYm3eEe8a6taQLzdoo8JkeP+yTW6YlBKdW0CldE9ZubZ1LHdeO+bvtmPdb2LgSMhonAJxJHbl6eNkljB25P/nf9gFW0AwAJRPxU8ZAsuJ6mxSStk18IMhYIgTpsrHbPW4cE9NIlkX2OYge18vbevEz7wZkl4JwqdrYTLb9hH663TQFLd/t43W076IM88RupPUjzEW4dOIiAKBV4f43qpBrIlOcT8pGi9SuxnPs9jsUUAK9wz6/l8Mgd9lwzELXgdAIWDsi5ojpW62bBgDyZttGrlV9xL5xURrIiH2Fy6ZrXKQt0S3YH3VPCDKyLep7ss1qUpZZ6pcV0Xy3GQF/tMUuG8X9zW6AY0gcHBwcHBz2ILRindFuwLYNSDzEGI95RH0AxJZ8c07kqjETq6zmUbFNL91vpJwTS7zsLKLGGiRcKtAMcSLgdOmzIGFeW0RqvaApr8cT+pqkbCYmEavN4yJnhaUKzXSGRZrzUX8eQK+w0i6DzYlZl402KFNo25lLU/E1mkjPMteCesbDlw+UksimHqRY1OTZ6GPnvFjmNtwOzfF8XrvcMNNnYmBn8U3BBCxmrAiPZySW8ZD3aGfz8rlYAWFLzLjtLFTm0qkaJmcAPDMejhqpe/SRflETW8R6wwzJbN7HH9zIotaGphlVHdQoW6INWeZhpVl6zuwPxPOzYku/z5LqlWDFyGPgdzFv2qIUNGfM2sWsEARafeSVouUCWBaidRlEu2kEHv52FXW+HAb9Bdw98Lnk/xyo/v0iBfeDtKlFKNiktml/bcHuWTakrtMsW12JzsfaSiwt9u0PRV6ktDcMWT6XtjO/T2zQRbN8et5npnDRXFeyh7LOvbj/MuWrQ5hbQng9nWO8wMzH8TwxkieCF5KyI4rErGOREBSH1KfkxdLdnGE3ZD9jyzIiX06hbSKviijWnMOJ/soVJpb5kMuhzSp/1AcEQz1AJ5krppfMd0X+n0yse/5KdPvkCRrcmGZ7XdAKCHdPoFbHkDg4ODg4OOxFaKXR6Tdb3KFwAxIHBwcHB4c9CK2A7i76ld9Glw0w1mWqctxENt03z/zSyCRt5+YEzTllxKrT/N3IrP2WiY9sZD3vOMdIqF9LNNr5w7NJ2bMj5GZ5JseRJR+JTgAAHm6+JCm7MHsd1WXiOACgMsvHL5knPiXCJT5qokR2CiLpVmWe6lllanNk4CwA4KYix185HNB+GyMC6BXIrQezehAfab86+V8mDRsJyAbHg4tJ2bUx1eFgxG4P6xortkWa+yhNTdqYCEtZaw9+Ll1jo5ZMxmfcKDKWyIwmgfB8zM+vEZN4uBWnF9bbewA4RXklZkXxWIfud3iJ62KjOmaFQtQmPAvCjUdqnejuw++d+rnkf69N9VcmkZiK+JnGJlpsXGA62yuQG6WUZ3dKNUeiuIGAjxs2MURsina5Ld091h3UL2bMiHjOYya52IhI0z5Yp7qW6sJW5jSBsKlNCqeE6Ft1+7h0zGliEa22U9mYyLKiW/j2peeT//u5kiyV3hGUuhUDR8K3ZCP/WhE2ADQV3VyP+9R8pVfUagXA/N2WieQq3Sg5YywvkEJmekaLws0ZGxeuFSoveHyOc4rcy6ejA0nZC51DAID5LsdKivrE18l6HQAfS5WvBcXsIu4e+yQA4DrFsUSOdahNHpzjexs2ie7KDREBNTSLFMQk3gpIw56ItOl4K/Y7Mt6Kjdlil7rKJa/2vC0Rr6dWpr7nkojKfd6I3Z/39nFZTNszEds0iUEj2siCSdC40K5iOcZyEwAeSJVfTWhwotLdgF00dnJwcHBwcHBYLbTqTbWx07F9y361xnCLh8WHJ2nWOPY0z5z1Q7QkrP4Nnv3OX6QZXW2ej2u10z6ygQqNxvcdZWHZ0F0UmfOaO0WejevpPIv7eRb6iPk71eA8OJXTNwMAjjxGIsXM89NczxotWdMdZh1U1syickLYNnaS7ufEzUnRCzefAgA8dIyPiwYeBQCM+3yNQK0xH/kyLHXKePzCtwE2tXeGZ8k2Wu1E5emkLJd7kKrsMcOTMSYvN3m2ZWcnMgKkXWbWtTlbxEzVCsDymu+nBdqWokI7y6xFLEC2guJIzDx9Y5dSLJYim+rlhVDYpiUfXeC6Dxo2TqTRSGb73tLaBaLLkV0cwC2f+hauVn1Z3gwRcTYq0z0tDbMN5vfZ/E68JHJxiN6JXEkwQnlqJ6NZbi820uigx5FQLWvi98nZUgq5zDIj+yeZsRqYILsEk9weME1tKKpxu49qNMOPlvj52m3JYCrTNmTunsIhjla8HuRDjesn0sxWv2WyzN4BTbPdErlYWr4VCgvxt10qLyOl9ln22481sYhEWdt0v5IZjP10/e3S7TlF9jkTs1D62Q7l73q+fiIpW1wgtsQTy1EttaB9fie0DGO6TlTVIv55i/qro9wkMTZN91SZEjm/5unaqiHUnbZNFARbaN6FsCTYs5KJ8CzIUcuWaNH32O22Oa4jn7PJqzNX4uMnzBLgU5nRpOyRiPrpJ+vXJWWTTWKd2kvcH8FEKA6aXFaqEYMyMMMhIPwOXWNqdBHAz2MroVX/ZeA7Fbto7OTg4ODg4OCwWsToHWjvdKzKUa6Ueo1S6iml1Cml1Dv67H+LUmpKKfWQ+fzk5lf1xYNLn30Wf3PL+/An138UX/+Nh1L7nb03H3/z1Tnc+sNfx01v+Tre89Hzqf3O5puLz53r4PY/n8MtH5zAf75/MbXf2Xtz0frSlzDx/d+Pyde8DvXf/8PUfmfvvQmtSDe1/LNTsSJDopTyAbwXwPcAOAfgfqXUfVrrJ5Yd+qda63tWe2EFnbgAAE4T7V1i6r1mXDXnn2FO/ewkfWmywbSbZYflQPDAItFzItwFciZOSGmcYwaMjND22BCL/8oFqkMkFFHlOaLlMufItRM991iyr3ORnDxh41LqPv08R+rMHrgVAFBpvSIpGy8eo3s0VLyOIpx9++fwsr/613jJtXP4xF3/E0e+/xocuKWEZViTvf1ODpWz1yUism6OadPmMAlYT4njj2XoR/lEwALcWKWjVtp1/2EgUo+r3oiSfXSvvW4cI2oNpNB1lTE17HdkEjQr2uyJHmuY6mJTRHU0zcqf6uJn/8tz+Mx/vAFHA+AV73waP3Ckb0aqtdl8KYb/EIuV44ZxC8ZkNJVnF4U/SJRxeXyM761VBQB4Qsk3b/62PbbPokc3188V0w9l4YaL+sxJckbYW5CurEmTNOwsF3bO03Znjm3fWaS6tBpcF5uKPQpNe9AaP/NQFx96SQbXjmTwff/QwCu9CLfXUu1rTfYOQoXhaUH9m1sLRaRKK2jMiMjInm0nIvaHjWjaFWrLyLTJnHAF2rgwoRJ2NKeRLpt+sWKs+0ZGHu6XfHIB1Eedj6ltPNs9muyzrprF2qGkLD95BABQXCC3gY4iTP3qe3Di1/8SODSCM//7q5F72b8AbjqCZViTvQFy9b3sjEk8ypp4ZC9QG9MXOFqyde1pkXjOdtp2EQIAeKMk2s2MyCjMti8WsabMKypXkdggYC3zLBsyAraJK3Ipz/Z+PiCbPhyye+bRxi0AgJkFto+aJ3d/ZZbfz+ICuWzKs+xuL503z/cC95toGvfp2H4s/9G82tBY3wBEKfUaAL8NcoC/X2v97mX7cwA+DOAOADMA3qi1Pr3R+q6GIXkFgFNa6+e01h0AHwXwuo1e2KE/ug8/icKJURSuGYGf9XHijSdx5r7T212tPY2vPVPHif05XLs/j2zg4Y13DeEvH07P2h02B4/UNY7lFY4WPGQ9hdcdCPDZyY1ppBwuj6WnHkTu4LXIHjgOlcmi8l0/gPo/fGa7q+WwBYgVrc5a/rkSBAnxfQBuBvBmpdTNyw57K4A5rfVJAP8VwG9sRn1XoyE5BOCs+P8cgLv6HPd6pdQrATwN4Ge01meXH6CUehuAtwHA2NFsj9gmmcXkuUpeJj1esoM9yYbYNAQFcTfFrFm+KWbuSdp3uTzY9IM50R/aSJ/ZLLM1XTPF1nkalsvZrcqa5ZxLPMrXsZkNREJEZpc5t3lGmWmV7AUAAPH5GjKHhtGOcwi1j/yhCqa+JkbbjDXZO7PvMDLtHHJNqmO2xXWNAqrj0gCLIs93aUYwl2U2aTFnlo3mpIiYbCrzsthZic2vIVXedubpCYbERuItgu1SNvlySmIpa9hn6aLdP+rNJ2X2PDIPj83h0w8XZro4Msr2ODycwVefrvc7dE02z1cOQ3eFgK97eRGh8unetBA12tuNxSxd+5dnQfxVCp97crGYmbjMa9Ivlb19Z7SIkGxFqlKsGovt5bBs5WRX44DJ1RLHGvtzwD/Nx4i7KXH6mux9ZH82eZ8BJL2bkglcDH0hcznFa5xASqGrjbQso9HmlWGJ+kRHlcJty5ZIlioyTIuMrFrT1EfYJfB2aSkAdCLDInSYTfDNsvLAUAfxxCQyo4fhRR5U7CEzcghLTz4IL069TyvaG+i1+aGDWVQnzfL5CW7feoLey3CWy6J6F8vhFy7/E6RFJ2+35TLers0JJRkw0zctGYakJpb4zpol5jJStxUIn+0ww7TYJmGqbrAwNdcgm+eWmA3Jmw4uJ5bCq5ph0KfOJWXRPLHN/uLW5rEBiCGR+axWiYSEAACllCUhJMHzOgDvNNsfB/B7Siml9Uphm6+MjQdbIHwSwHGt9csAfA7Ah/odpLW+V2t9p9b6zoHRjSWLe5Fjzfa2LgGHdWPNNs8WR/od4rA6rNneI0OuT9kAVmVvwNl8N0GDYuos/6yAfiTEocsdo7UOAdQAbLjDW82A5DwA6Ww8bMoSaK1ntLZTBbwf5FdyWAe88TF0zs0n/zfP1VE62KsfcfbeXBwcyeDsNDMZ52a7OFTt7WidzTcP41mFi22eSF1saezP99IUzt6bh8zIAXTFjD2cuoDMyIGeY5y99yZieGiqXOoDYFQp9YD4vG276wqszmVzP4DrlFLXgAYibwLww/IApdQBrbWVNN0N4BtYAbECaiLF9vQwca3l4+wiKN9Gs3o5GqqcIyrwSJ2p49jEtpDumYr5QRk8xq6V4ktpABce5ms0y+kU7zYp13CeXRiXjpwGABTqNwIAqsWXJ/vyB48DAHSTBVxoGVeDzyZWg0QFhkd5IDk/TjSeMhE6s684gvl3TCJ+4SLUNR08/7Fn8L/98at6RJ7rsrcfolGdQ5Qhe0g3QJhNZ31qmNTys4rp4dk8xbSwidYAIG/W9kdiaNvM2L/0PFYSVVnxqYysOmLiZ4Q+PxgZidTCJi8cURxvY9DEJJHCWRutsFkUlLnJOnXrK6p45reew9OtEMeGs/jogzX88c9ei1/6BLvK1mNznQugrr8p+d9r9rpsdJFp9u4wuYwao0xrz+6fMGVcDz1ACcoqRW6bI3mKUzIsotVaV5a0WT5JzJd2+8hn1Da5L9oiX1xumOhpX+Rkz2XJfoGIJZI3CvNYCBdj4+axrp1XxRo/f3oOzQNFjIxk8dcPTOMPv7eKwpEiAIqivK427gGLVX7mVuDY353IZba9tnvikJhkakq6U9JxdXyT3z5x3YDdYLYfAXqT9F0J9rh+MUxsLKKcEHBnfWpTnRLHUVqKTBLAIrkd9dgBLP3W05iMvwY1Moi5L/0Zht7z62gOswh/Pfa20DYeiIi6qwaoDvIHJhg27V3YWVmXzZBwIQ/RdzsVttmS6caXxPtrn6vM1WLjzFh3cT3L12p4fZJ4iuSdFr4RiSPH706nQvZdFP2mXRgQZtgFNNSt0jlax/ge7W+Av5qf282Fhkri3SzDtNb6zst8bUUSQhxzTikVABgEiVs3hBUtpLUOlVL3APgsSHH7Aa3140qpXwXwgNb6PgBvV0rdDSAE9Shv2WjFXqxQgY+Tv/k6PHr3+/GNuIMbfuJGDN8yjH/4lS8D9NABZ+9NRRAo/ObPXIu7/90TiCONt3zvPtxytAgAB5VSd7s2vrkIPIX/8i1l/MBnaogB/NjNBdw8ksF//MI84Nr4pkMFAao//8uYvuet0HGE4g++DpmTJ1H7nd8FnL33NGKoJEv1GrAiCQHgPgA/DuArAN4A4O82qh8BALUJ51gXrrmzov/j15hlGDHiv6M1rs/hCyba34SY1VpqfUEsEbRCOql0NSP0SIgV62M04p4d4RniRJW2L5R4bHYqoLwFD3ZvTMq+0aTtmUVypek65zSwkfqyYvaYadN1lVAIRmaNbLPKuXTiEaJSDwxyDo5bijQ5OexxhE4AeJf3kQevMKq9InK3ndAHP/cetFtmKWCX7aIyZNNCgWfYJ03U1luzvGz1BlBdR0IRvfUKqbelUNLCzi6lqHV5rg6A83UsiBTudpmkXDppZ6ZyhlqKaYYjo4+WO3S9otDVJctbRfryvMnT48UKB276yrrtDQCZl9ykD7//0/x/O9+zv1MQM7DyPG1UuG3kTA4bydTZaKwjvojU6hFLlBf5iWwOm6DPUmA5cx/WhmGKmN072KT9+2tsl6E5ej96lgLbqLahaAOmPagriFuvhOD7v7Zum9/48pK+94u8GMCmKJLsj2U+OoL5sO1Piv/iTZDXyfbfMXM/uZy335JrCylqtflv5jXRBNMin8pkSCzynMhb0wjTEW/tknBvWXt4rPqvNtTGb7mtpP/6Ey8FAJSFuDNnwjhIkbEhkxD3CFPpb0eIT1uGdW2JZdiW+WgHkvWkvzKsgC2zz7wZcJ0WfLrYrMf2uaCJrT4XjXOZEfTLXEDNLn2nG/NzCUN6LmGLz5edoejeYy8wwTB4kY7zmxE+9/PBhuy9Vhy4c0T/xP2vTpWv9FuilHotgN8CkxD/SZIQSqk8gD8C8HLQAPZNVgS7EbhIrQ4ODg4ODnsQMVSSBHAt0Fp/CsCnlpX9ithuAfihDVdwGdyAxMHBwcHBYQ9CQyV5wXYDtm1AEkPhoseU2FkjiHpuH9PYlVESbFViQUVHGfOXqU8bQ6RfluVWwJzhoolrsujziLHh0QoW6RqwgrJbMs8mZbcM0nYwmE7kZ4VobSGQmtckBq1rcV6TFE4myisrcn/IOBrDIBq9KNwQsn7rwXAwjzeP/k+cjohStInqqN7UYGWkT+sSkOK6S4qe12KG6yKjVlrYOA02voiNxAoAGeNuySJtR+nGKcXkcrAxHQB298jzZY0gVrqOLIUrU8xPF0yK+eLl3Uh0nnS91ouh/DRuv+P3k/9bsRH6GTvLGCujxt42Bg4ADIDcKNIdlTWJCGWdPWPLWKcFmB2RiDDss9zPPquWSKE+YSJa1rNs56KJZJxJe4B6YG0vY5lY14l0Ydj6y/g/lbS2ek1Y9LP4+zKLCe372FcgKtx+9nlIV5bdL2Pj2LYukzbaNu71cX3H4n4z5hpdUZd+bpzkWqIu1kWZM+9CNeA2ctgnwXMoBKW27iXFrlUbvViigTweS5WuDfXAxxeOkp2tqxQAMrGJTNunT5YuFmsj2TasKyvuUyZh2660vW/izPh9noetX1azALhq4h0dCaaSsmbwDACgUWAXa78YSBZ1cH945hC59J86cUNSdn6OIusG8/sue46rhQhez2/QTodjSBwcHBwcHPYgtFZoxY4hWRExVG8abZOfYaLN4iIrJEqiEQKITXRBT+TyKGVpyedAZj4ps0sg8146/4qcnPsmr4hcHnnYJzHpyZiTMxxv0mzj4ByN1AcWecScbVkhJJ/XRhSUy9SaZslhIy9Tn9Nfuey4nxhvJtPnPtaAobCFN8w+g+kiZayZynIjnfKJLamBRbn9ZpczmsS7E2Bmy0LOOC3rM6Bohj+geaZmZ5exTk+1+82C8jFPoUuRyVsjIrDaFX9y1mWZsPmA79EK2WbBzJCdOfRQmj0Toa+l6rMWjIVN/OLi3yT/26XRlmWwolq5ne2mGRzJNtj8QEtC8GeXsDZF6BQr5muIZdOWBen2EVbWPH72syakaiPg986KLK2wEgDqZmm4tF+jT1nbMEORYGtsVNmRwnxSdqxyHsADWC/mokF8ZO4Hk//79RV5n9piJeDUAAM+9R8jYtm0ZSzlcnLLXErYJeuyTdrZuZz1t3zDRIkIsb7Z7vRhCyU4Mmyj5/wAs2PyPRnp0Ds2KqIQlFpmObGgLGpFnYTaXC+momH8duNHqF6C+b1SXiUptPaTpczcv1lxtmQQbf9sIzjTtulnwDdq+5oBE0KgGHGdKl3D2ApzZyJ7XWGsPvBsIPGuLDNhDaRN85TX7MLA3ydlTw0RK/1g+2ZwNJitQQwvYcB3AxxD4uDg4ODgsAcRw0smCbsBbkDi4ODg4OCwB6G1Qtu5bFZGDA9Pd65J/v/GzK1UoYsnk7KRcyQQGpwU8T0WiW+TiZc6hkWujTOd98QYiZTaAxzXQZtoqEGeRWGFLJUdLZ1OyqzLZn+bhWA3vkCU9ehTRAHqpzg2RPcS0X2hSB7lm3gHxTLz6ONj5CLwRCj48ACVNUb4fhZMbJRaWXCLAxtT/BWaCi/9egZLQ3SdWRER9OIQ2UrGYpn0yagX1XBSdi4iUVYt5siEy4WaADBoKHBLe7cF7T1gKNcriWEBFq7mBT1tafGy8F4ZJjxxfQEcz0SKpp+KyCX4QpdTMkx3KIZDK2LRV9dEuSSB6L2pOq4FhTpwOzO3HJujZWzVEorOTh/a3maNHOCbs1Esl4bYj7NYpe/OVPkZzBlXYU+MBuOqkV4hE0a6x5Vln7O01cUW0c4LSxxlOFyiduAtcXvwTKyVoMOdICd7EzEcMvT8T1VYYPiV4Qu4QgqVFRF2Slh69hXJ/8q4bMIcv8c10wdMlbhfqBRpu5G/IOpH70Le58Zm264fp9tkMZQuG/obKSmWNmJLEUej5V3eVeOJd4HF4Wn3kL3usAhifGCK7DwkYmsGMybZp0hY2h3eeB6auDmIxgPkJlN9szIybBymKMPvfidvkvAVuY+AeUaZHLtRijnaP5TlYKD7MtQHjwfcFx/zKPps1vRHVSG0HTTNYFi424tLVOdci1+KrDnOE6+nb1IdeOI99Vr2t0iIyUt07uYQH/dN46cBAHeNnu5dR7sFiOGhGTmGxMHBwcHBwWEbEWuFTrz2OCTbhW0bkITwcW6Jo9lZZuTYo8yQFJ+cBwBEpx/h782cBgDoSCy9G6Lz7D/CS632HaayxUOHk7L5cTrf4ihHQK0P06yokecyu0RutMmzGTvbiB6k42Yf4pH67CTNouoNkb/DzIiyGR55D1bJ3NX9LBasXE+RUwdfwjPP3GHa7+3n784VV5da/nJQzRDeg9OojNNoOX+UR83ZI0aUu4+v0a3QzGXW55mzFbjOhNWkbDHk2bFFLaDvNAJiglq+EDga1iQnlvPmTFTRHPj6drllhPR9+2Ji6SWzUS5revQCntec4fi5DjEkZ+rXJmWtpmFQlvgeva6xfXfjL7Gud9H6W5HUzDBooWFIorbIx2TYE08wf9mKWeI+Lp7VUapr8RquszZiVSuaBnrTrltYkaVlRQAWMl+Kuf090yYbnVngdzGcJbakPHUwKRuYqVL9FtlW2SbNFr2uEF62qV6qKx8c1SWsMAszc/QYWEa+dgSdHA48ezxV3slxW6sP0Uy7Mcrv4IJZ0pkRwkorqKz7MlIw3VsPk2fec7kcOtOH+LARRmPFO+3ziPrkFuplC3uZEcnG2Fn/2Bx35cNnTbTcf+I+aukFYh28LM/mM/t7k3auB9lmBse+Yt6jrnhXLYsj2APkqD1HRSG0HjSC7EFmsewzkhGtaxW6l2aR+5t6gd6BMC/yXWXpuY0pYt488RqUDQsyWBPHz5jnN8vPXi2Y9iKigcd12o4ECx4u9embDCM+MMzta+AY1XPfNVs/MNDw0HUDEgcHBwcHB4fthNYK7TC/8oE7BG5A4uDg4ODgsAehtYcocgzJiojgodGqJv9Xp0lIV7jINFh84QwAoHv+oaSsPf0EAEBHLPLMLBwHAMhxoG/iL5QzY0lZN09CzaUKC6g6hkIdEHEJRjXtl+KnYJIoxfp5ElotzDJ1NzNPlOuccNmYjOvIirgWjRbRg10pjDIU/cAg0+gZI1wMQhHpcYUImStBhzHCqSUEhkrNFLhilQpZrjzA1ysaF1HOT8c/kfEkrH8yFpEMo2VRDf0+bpeqEjEd0qE3krgmseLrJxS35GFtwi5xDpskbT5mt8aMEbDa5IIA4NXJTREsCdG0SZBokyNuBFEnxuILLKDuGBGcff6yHdgAsUHAN5JvkA20SFRnKWF/nF0Jfph+ja2+UCYsbKl0+vWGicUyIxK2zZsU6t1mNSkrztN7VJ3i40qzdJ5MjRunMvF6VFNEBm3Rtm5xPBqLTJXPN9Invs1a4EUKuUW2hWcahV8UosMMuSk6BRGpuEDveztkm9rYDaFo67ad9kQGtdGDe2JbpOtm22fGk0JX0w6ED/JKCff4mvJadOJci7/nz5G9W+e57TVMv+UJUWt+aYOdCgAVxlATJCrVXZnw1Jw7wz+GKm+SzFXYVZRPem3uvSNjQCl+bQW03fWF+830TbOBaLtG4No0buJYpWPHyIR/gXnH1Bz/nsTTZL9olttwt0bX6go3jnW9aiFytvbNFLnd5C+RG2lwgRcIbCWiaPfwDrunpg4ODg4ODg6rhtYe4tAt+10RGgqxWCYWmyVwclmaMgKmYOQEl5kZjo55pOqXaPbmVTnKqy7TcW2eEKMxSDOGdpXzFoxWSK16Q5YzJ+/vmKiAdTHTN7NZZRiNvBBmDZrluSKwKtpG1Ner6aIDMkJYZkfUqsCPIsoawZ9YIhj1YRHWBE/BL2egLGXjpU8oxaJ2FiaFpklkRJ8ZJpvjoSPWutvoi8EVojVKWDYk6BOxUs4YbeTarphl2pmnjGprv9Mzu7UQosI4QzOgULRDu1TUi3pZnvVAKSDIp89jAqH2sCFhqFNltp344hzKlGmRu6RjJpc2RTsAtEw7lVFZ24YhkdF3r5QJVGV41miXZy6Vedbod+g8SszAAi/d+Sk7W476tIcMfzfe4CrU2NdYqnK/4JnQuFLU2i5SG5ZLgWFm3TKi6xWvI3OsmO1YpUXEaznP8vNF4hkl74CfzmNUNH1EN8tltm34IuSAFUhLKH+jnQr113rciMf7iVrl8y1SHboVft9aZfpOc5DZs6WyCaOQ5WcUGzZE9VkqLRlZGyG4YRiXRsD7miZxUqvItiqYZbpZsbTes+LrqI86uQdG6CrE2pbN7DbZFp5hWryzabbmqkMrINr48u6tgmNIHBwcHBwc9iK0AkKnIXFwcHBwcHDYRijtJaEMdgO2bUDiQScREgGgNk4RCHLXMeU7OEjxEDI1Tinut9ICSZ2n2+gMMj1X22fiaBx8Pilrm4h540Psnrm99DAA4CU4nZQNtywFx+eLx6hepZcSPZkV68yHjeApbIg16q20INHS9zkRAyF/sgoAiK7j9fVzB8zfAaaQm5mN0auqEMC/ZThxibVHmMZrDJhYADlJO9P1ippp+3HPxDUQDKBNSNYvo2SSEEskyaoqcpvJhFjWLSSjt9o4DL0JyoxgLCOFgelEZsuvDwBlI1puF7jNtQIT6ySSIl26uXZ749EN/XyAwZdxfA/d6W0TWopazT5Jo3vGjReMsdhSHTbC7HF+CDUToXWhIBLuGaraJtQDLpO80NDOgx674cZzlNI+rnD7n/fo2UwPcGyLuUaVzrHIftFCnepXqrH9CjV6ZzwRnFebqiwN8vs8dVSEFl0HurklXLju2eR/ZdxusUhMGeeoTagC0+fFArVhmZzTxiEJRMK40NivnxuxtYJ71SbPbAkfbkcZl5JKC497npU5X8u8Jy1Rp6hE95YZYePmj9GMeLDLgv6+MUcKPoBL6fI1oF3q4IW7TMwP4eaMfSNMDURsI+Mm6xb4vbRuU51Nu9BUwPcUmHc1CPi4Yob6EJmYz7qQG5r62Hmf+9rJkklOKKK3hgG9H2WxqCB3kLYDEYHYNwLgzKJoxEYIG4vYJDZeiXy3rZvVH9wOLYeCCp3LxsHBwcHBwWEbobSC33UDkhXhI8KJ4qnk/2cpkCYujXBky4tdM6LUYrYQX0FsmOHRc84s5dtX5FnX8dwLAICTwVkuA80G93d5iZzF7BAzFB0zyi0cpiVmQYeXmtllZDlB3hSMqFVoKJPb6JZ4CjVRpeOmhvnLc0Z0tSgEvovBxh5Vp6hw/nZumM0CX2/BRPicLfRhIzTb4DBodrxPcf6R0Cwrjfz07NuyHIE4h2+iTmZFmc3bEYtZoWU8pCizYXeL9ytZOumlry+XFl9jnv2wSDHfD6F5JdpxdoNzRyCuBGh/737+31TR6vJk2/DSxB8iu3RXMK71AfrSQplnZZOG4ZoVQlc7M5RRWS1sZFwAGDSPXOZsqXomv1OG3516iRgPmcdoIaSlswtmmTAA1Fr0XkyL2aUykXCVEB/ambEqclsaKm/M4oXcIo6c/Hzyf6cPa5f1aFab85j5szNsyahZxigvbGWFppJ1Wgxs+xPtWacFrrZ9dpUQdBo2ZEkJttI8r7YQG4fLmK1AqM9LPtlxcZjtuJijOh8c4XoOLFZTdVoh9cyqEBTmEdz5yVR53ti06LNN7XZese2t8L0loonaJdcyKZxlPqRQ3ornS+K5Jecz9ptWguUwwt9WlX8npkuGnd3HdbeCfhldwC7lznXZpqUWXaNcZ0PmmvRCZRtiKXCHtjvZjYuI14xYIeg4l42Dg4ODg4PDNsIxJA4ODg4ODg7bDqW9TQny2HNOpYYB/CmA4wBOA/gXWusU9ayUigA8av59QWt990rn3rYBSYAId+SeSP6/IUvi00CkUC+ZuBeDYErOCh/bguZsIx1fwdLSA5rXtw/ERNVVOsyPJ2nBBc26aKi1KdaEoTVuXQiWehVxIFTajWTdFX4f+rYfRdsQkQptPI6BPve9XizkFD57Io98bFKACxGovRcppLP1t8cDQMnYT6Y/72e/xN1iBH9S5Gep60iEZ7XxGDriuCUTTVQ+50TcJyjfvJe2i637PsXvyGBAgrYg4PaVA31XCncTMS08/H+pM68NCyWNT34T/2/bSdxHXGpdYzKpmqX+e+JemFe25XF7aSY0vxSw9muTdA0ZW8a+H/K69ll6wqfkW/5aVD0yQutGkTu82Sq5ZyY0uzTrMbl7JN1eVtS2RxSLaQfQxNtTtV49RlUNP1X4c66fbVfCLrY9tYXfrwUrJGWbhTptP3ucdAMsGgGmL4P4XAHyHWORrIwLY+qn2YVRB4marR1trA1ZT+lu2m8S0e0bmE/KKvY5i/fU6xP3Z60Y8+bwbwf+mM4tzlcycaLyMT9z22/IUCK2j5Au6TmP7nNSsVi6pkksXdcslu73jPIisjPA9gSAaY/OMe8JwbrZLduD7YvrmsXk9rqBSIRoXcL71HxSNhyT678acp9S6W7czuuF0gpBd9N/5t8B4G+11u9WSr3D/P8LfY5b0lrftpYTb4IX0cHBwcHBwWHHQQN+1099NojXAfiQ2f4QgB/Y6AkttnXZ78mYk43bEeV4k0eT4/NkuMF5NqBdHSbD83dMqvVmkb8bXsHmUszVNgPjOTFovmDyEDwTsCDx4e51AIDTLVLfzrRYBdXp0pcjGRFPr26sp8wMv5RnUdrR0mkAwMtyT3KZmlzV+S6HqXgI/73xBgyZpY1SWJYz21WfRaCHPLreYY+XeVY7NPvgZdFA0UxIAkGDhEYV1jLLc5vCLItmO/LSDFOrD3O0AF6u2DKzRjkLGlDEfJQEy5E1DMC+mGfflukZCJkdGGxT/cptER21j7h0vbikR/D/LP5U8n/L5EqJzNLiWAi0fSMqzQjGJxfQrLYghIG5PmJB+yyluM8KU6Wwd9DYKidYQzuTrURsUzujExnhUTa5UrJdsSzZ5hESyy47GbL5UpaF41acmxFtJNdNC/zWE+1UotzWeNVz3A5spONQJH9p5KnSi4LFns1TBWcDnhHbWfQsOOeNnaVPSIbCsBv9ZusSlh3qEXQmEYqjVJmMoGsZEZtvaLI7muyzguJml98Ty2zlA37Oed8wJGLJsK8iAF+8Yr1XQrkb45UXqY3lOyJPjmkv+absu9M2sqvrF0WIg+nBeQDAxTK/vzMZskFNsBs2J5NkQSwsyyxta4XCC5I1iasAgPMhR/k+1z4EAJhtsZ1bTcP4yZgeRsjs5XhBhO3HqznuN8cylF+HhL4PpOp6NeFphWx70zUk41pr++N9CcD4ZY7LK6UeABACeLfW+hMrndhpSBwcHBwcHPYitILf7Ts5HjWDBYt7tdb32n+UUp8HsD/9NfxSz+m11kpddiZxTGt9Xil1LYC/U0o9qrV+9jLHAnADEgcHBwcHhz0JFeNyA5JprfWdl/ue1vpVlz2nUhNKqQNa64tKqQMA+tL3Wuvz5u9zSqn/BeDlAHbmgMRHjP1t5oSPzxKFe+A8U5XlZ4hmjJ6eT8q6JlGRLyJaFk3U1BERPRVDROdpkQY6NtRst8JlDRMHpH1ApLo2cQasmwYA/nHm2+l8F64HAAxfPMj1NP6erKAn/ZYRBnZF0itT5yjHda+PEYU7cfyFpOyFa+jvtVku89XGhFHddgXnn38lzpoIlSrH9H7WUI4jhYmkbD5P0WzzIgV41bfPi+tiqXdP91ljb1w2MvGdFbU2PX7Oi0aguQCmY2uaKOh5zZR5Swj9LEa9eQDAuBCwjseGNhXCMusKHKvxMxqaM5Fz2RTw2+n4MetFd6mK+MHXJv9XmuQSCPr4cG1yyW5eJIIrUPtfFJEtO+V5AIAWkUZzJbr3an46KbPRVo+JWCK5ZYI/AMhrovCl8G7fIj2vkXl+TyrzJs19TYhumya6rEwuZt/LPskbVR9xXyySVLaHN0YtZ5c0Dj6c9rnJa3Qr1IYWh/m9nBil72QH2M72HZ1V3P7mYyPYDYXLJCKBazNKR/aV7hHrYpNuNRvl2LrXAI570s+NY1EPuU5zi9QPqXlmzYO2eZ+EenTeRKvVPrcvvcpkgldCtqNw7Dl6bsES29RfMNFW5/gdRCP9bAomqV1lP/fdlQMmvseYcK9W6F2o5fh8VggrFxVYwTgnKeQfYytonkU5KbPC1Ysdtt/FGnXA/iRHCB+dJLKgPCtcYyazZzfP9bTJJ2fL7MaZMIkpo0wXwK9jK6E0ELQ2Pf7JfQB+HMC7zd+/TF1XqSEATa11Wyk1CuDbALxnpRM7UauDg4ODg8NehKZJ8fLPBvFuAN+jlHoGwKvM/1BK3amUer855iYADyilHgbw9yANyRN9zyawKoZEKfUaAL8NSu7yfq31u5ftzwH4MIA7AMwAeKPW+vQVzwmNYTGiHpmh0Wv5OWZNWv9IkRunv8GCz4X59DLPUplGyKVBnmHlh4khyQzyrDpjcoLkx3k2419Do+WqyNsRD9E47WKXXWjR1HEAwNEnTwAABp7l2YWaJsYqnmchk16k2WrY4LLkmtVDyfbwdbcAANoFvtalU09g9v/+A0ygjpveeiNu/4Xbepb9rsfeQTuH8WdPYKlCo/VWiUfwnQrZ9+JgepY36s+LbRKZVTP83ZzJf5MRk6120CtmXcywbWd8usZUz5I+mnXIJX12NtqIuUxuW7R8k3dCLOcdNUtJSyHPEEcW6ZmOTXBdipdoZuPNd/CZRxbwf/3JeUSRxlu/fQjv+C7OQQOsz+aZVhYHn+TZtL+cUZDpzX0yls7xTDEsko3aFb63xiDN5OpD80lZc5jYkCmRK8OmZA/EEt98lmaXg0qIX2GXg4p6G/FpvilEqHNmWfJ5kYdkmt7VsMazVpnDIykz96lENN/PXejgZ/9mFrHv4a3fWsU7Xj2GrM8z1/XYG60I8SPp980TfYB992XCsdDk/amLUMuTWbpfGUrAikovdfhdnW8PA2Bhu4Qv2Ii8ybsylOX62WimkiGxoQ4CwUJahmRaVQEAsRDQahMFtzzLMQoK9XTemvmHPoNL7/v30HGIwdf+CEZ+mBZY29i467I36Mcuf8E8/wVm4LRhRrpTLKwN6+m+OzDPJtPgZz8Q0baK+ecpCMkGxTK/C4OG9ZGEo2VjDXmBjmDqmr45nzh+wtg70nwt3aHfifIc9wHD54gJy09yG1FN+q7O8HerxbIp46XhschDtrFsTeuAxmYMQHpPqfUMgO/uU/4AgJ802/8A4KVrPfeKDIlSygfwXgDfB+BmAG9WSt287LC3ApjTWp8E8F8B/MZaK+JA0FGE2Xfci33/45fxpsd+CKc+egqzT6Rizjh7byKiWOOeD5/Dp/7dtXj8nSfx0ftreOJie/lhzuabhCjW+D8/M4tPvmkfHv/lE/joAzU8cbG1/DBn702CjiJcfO/P4+ivfQzX/OEXsfh3f4H26aeWH+bsvQehYg3VjlKfnYrVuGxeAeCU1vo5rXUHwEdB65Al5LrkjwP4bqX6pF91WBHNpx9AcM0BZI7vh5/1cfKNJ3D6vtPLD3P23kR87bkmTo7ncO2+HLKBhzfeOYi/fHRx+WHO5puE+y91cGI4wLVDGbL3HYP4y4edva8Wmk8/gOzBa5A9cBwqk0Xlu34A9X/4zPLDnL33IrQGumH6s0OxGpfNIQBnxf/nANx1uWO01qFSqgZgBMA0LgNPA7mQ23uSfVqIoJYmiBKbnmQqcGI+TQkPLJq4CXUe+VUWyeiFiojqWaPzFAStnDGiquwxdvdYQdS8SBpWmSaqvHLe1PkiJwKLpsg84fTzSVl3jkShnTmOJaIjk9hr9NakrFQiWr5YIwHt0tkZ+AfHEMc+AhVi4HABl746BR89NOza7R0r5JpMXQciv0HTxMNYEpE0Z7JEzZ/Jsnh33KytL+VEwjFFNKyN2AqI6IvGVTMpqPiLiijucxHHcbFUuHTJ2MRaUizYidOi1raJTyAjVR7xp8wWu5Zs/AyRfxHePN3HuTMNHC560NNL0EshDvkaXz3PVLPBmm2uYsAXMVsSV02rY/YLMagR+yqhiM+YZ+QJTto3roF+wtiGECnWTMbHKRGvxAoqpcutYuJTDMg08cZ/E/XrHcRztqnWu7Mi9keD2oOO0jSxZ5JFnrnQxqGCh6jeRRBpHB4M8NXTS4izPfOjNdtbRxqdqdRzQ0a4xoIC3ZQ/yu6tIEz/7lpxpIwHYtvnYofdja02te24k3bZxFm2vd83ojDZXCbwK4EaqIyrY2OY2DhBGRH3xcITwZVs4KvYPMdw+hKCfQcR+ybuyehBtL7x9eU5TtZsbzq5Bmaozlq4ZEKz+KBb47p2F9L1jjsmlkdWtHHTJxcLwjVl4hbJODitHD1XGWfGxryxZV2xzyYd9HIc32Q2oD6tEnCZVbR7kXzv6LqqKToQ47JRIrGnMj/22pPPw7xb7RTrevWhuU67AUr3CW3ec4BSbwDwGq31T5r/fxTAXVrre8Qxj5ljzpn/nzXHTC8719sAvM38+xIAj23WjWwyRrHSi3j1MARgAMAZ8/8wgDKAFwDcoLWuOHtvOi5n84LWtMxnj9l8p9rbtfGrg02zt9m3G2y+3W38crjB9ilbgcH9t+lv+ZefT5V/9v8de/BKy363C6thSM4DOCL+P4y0Nscec04pFQAYBJBSl5nAK/cCgFLqgZ1oEGB766aU+hYA79Rav9r8/4sAoLV+lwhk4+y9udfva3MArxeH7Rmbb3e9XBvf8mtvmr3N93a8zXdyvbb0gloD3Y3lQdtKrEZDcj+A65RS1yilsgDeBFqHLGHXJQPAGwD8nV6JenG4HJy9tx7O5lsLZ++thbP3ixVaQ3c7qc9OxYoMifEn3gPgs6AFUx/QWj+ulPpVAA9ore8D8AcA/kgpdQrALKjBO6wDK9jbOq+dvTcRV7D5QaXU3a6Nby5cG99aOHu/iBHHQKu58nE7BKuKQ6K1/hSATy0r+xWx3QLwQ2u89r0rH7Jt2Na6Xc7eSqlzZtvZe5PRz+Ygmvs+s38v2Xzb6+Xa+NbiKtkb2Lk2d/UCoHUM3d0GMe06saKo1cHBwcHBwWH3YWD4Rn3Xd78/Vf75j/+zXStqdXBwcHBwcNhtiGPoTnop/E7FVc9lo5R6jVLqKaXUKaXUO/rszyml/tTs/6pS6vjVrtMq6/UWpdSUUuoh8/nJLarXB5RSk2YZXr/9Sin1O6bejyilbl+2f0fae5V1czbfRDh7O3ub6+5Je6+ybrvS5psGHUN3l1KfHQut9VX7gARUzwK4FkAWwMMAbl52zE8DeJ/ZfhOAP72adVpDvd4C4Peudl361O2VAG4H8Nhl9r8WwKcBKADfDOCrO93ezuaujTt7O3s7m6/O5pv5KZeP6+/8zg+nPqAFKVtqk9V8rjZDslPDzq+mXtsCrfUXQCr3y+F1AD6sCf8IoKqUOmD27VR7r7Zu24I9anNnb4Kz996092rrti3YoM03sSIxdLeR+uxUXO0BSb+w84cud4zWOgRgQxZvd70A4PWGTvu4UupIn/3bgSvVfafae7V1A5zNNwvO3nD2XiV2o71XWzdg99l886BjxJ166rNTcdU1JLsYnwRwXGv9MgCfA88AHK4enM23Fs7eWwtn763Hi9rmWoeIWrOpz07F1R6QrCXsPNQKIYu3sl5a6xmtkwxX7wdwx1Wu02pxpbrvVHuvqm7O5psKZ284e68Su9Heq6rbLrX55iF2DInETg1ZvGK9lvnz7gbwjatcp9XiPgA/ZlTa3wygprW+aPbtVHuvqm7O5psKZ2+Cs/fK2I32XlXddqnNNw1aR4g7C6nPjsXVVs2C1MRPg9TQv2TKfhXA3WY7D+DPAJwC8DUA117tOq2yXu8C8DhIuf33AG7conp9BMBFAF2QX/GtAP4NgH9j9isA7zX1fhTAnbvB3s7mro07ezt7O5uvzuab9SkGA/qO/a9NfbBDV9m4SK0ODg4ODg57EMWgrG8YvC1V/tDsl3dkpFY3IHFwcHBwcNiDUEp9BsBon13TWuvXbHV9VoIbkDg4ODg4ODhsO9yyXwcHBwcHB4dthxuQODg4ODg4OGw73IDEwcHBwcHBYdvhBiQODg4ODg4O2w43IHFwcHBwcHDYdrgBiYODg4ODg8O24/8HuH862eVvCaUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x144 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pde = PDENodesCollector(dim=2)\n",
    "domain = pde.new_domain(np.maximum(-x_fenc, x_fenc - 1), x=x_fenc, y=y_fenc)\n",
    "u = pde.new_uf(domain)\n",
    "pde.set_ic(u, u_ic, x=x_fenc, y=y_fenc)\n",
    "pde.set_ic(u.dt, 0, x=x_fenc, y=y_fenc)\n",
    "c2 = pde.new_coef(2)\n",
    "pde.sum_eq0(u.dt.dt, -((c2 * u.dx).dx + (c2 * u.dy).dy))\n",
    "boundary_lr = pde.new_domain(np.minimum(x_fenc, 1 - x_fenc), x=x_fenc, y=y_fenc)\n",
    "pde.bc_sum_eq0(boundary_lr, pde.dn_sum_list(u, domain))\n",
    "pde_dag = pde.gen_dag(config)\n",
    "u_pred = infer_plot_2d(model, pde_dag, x_plot, y_plot)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 圆盘区域 Mur 边界波方程\n",
    "\n",
    "- 方程定义域 $\\Omega$ 为圆盘，圆心 $(0.5,0.6)$，半径 $0.4$\n",
    "\n",
    "- PDE 形式: $u_{tt}-c^2\\Delta u=0$，其中 $c=0.7$\n",
    "\n",
    "- 初始条件：$u(0,x,y) = \\sin(2\\pi x)\\cos(4\\pi y)$，$u_t(0,x,y)=0$\n",
    "\n",
    "- 边界条件：Mur（吸收）边界 $(u_t+c\\frac{\\partial}{\\partial n}u)|_{\\partial\\Omega}=0$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define disk-shaped domain with polar coordinates\n",
    "x0, y0, r0 = 0.5, 0.6, 0.4\n",
    "disk_sdf = np.sqrt((x_fenc - x0)**2 + (y_fenc - y0)**2) - r0\n",
    "r = r0 * np.linspace(0, 1, 16)**0.75\n",
    "theta = np.linspace(-np.pi, np.pi, 64)\n",
    "r, theta = np.meshgrid(r, theta, indexing=\"ij\")\n",
    "x_disk = x0 + r * np.cos(theta)\n",
    "y_disk = y0 + r * np.sin(theta)\n",
    "\n",
    "# define PDE and inference\n",
    "pde = PDENodesCollector(dim=2)\n",
    "domain = pde.new_domain(disk_sdf, x=x_fenc, y=y_fenc)\n",
    "u = pde.new_uf(domain)\n",
    "pde.set_ic(u, u_ic, x=x_fenc, y=y_fenc)\n",
    "pde.set_ic(u.dt, 0, x=x_fenc, y=y_fenc)\n",
    "c = 0.7\n",
    "pde.sum_eq0(u.dt.dt, -(c**2 * (u.dx.dx + u.dy.dy)))\n",
    "boundary = pde.new_domain(np.abs(disk_sdf), x=x_fenc, y=y_fenc)\n",
    "pde.bc_sum_eq0(boundary, [u.dt] + pde.dn_sum_list(u, domain, coef=c))\n",
    "pde_dag = pde.gen_dag(config)\n",
    "_ = infer_plot_2d(model, pde_dag, x_disk, y_disk)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 浅水波方程（对流形式）\n",
    "\n",
    "- PDE 形式: $h_t+(hu)_x+(hv)_y=0$，$u_t+uu_x+vu_y+gh_x=0$，$v_t+uv_x+vv_y+gh_y=0$，$g=0.1$\n",
    "\n",
    "- 初始条件：$h(0,x,y) = \\frac{3}{2} + \\frac{1}{2}\\sin(2\\pi x)\\sin(2\\pi y)$，$u(0,x,y)=v(0,x,y)=0$\n",
    "\n",
    "- 边界条件：周期边界条件"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x540 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "h_ic = 1.5 + 0.5 * np.sin(2 * np.pi * x_fenc) * np.sin(2 * np.pi * y_fenc)\n",
    "g = 0.1\n",
    "pde = PDENodesCollector()\n",
    "h = pde.new_uf()\n",
    "u = pde.new_uf()\n",
    "v = pde.new_uf()\n",
    "pde.set_ic(h, h_ic, x=x_fenc, y=y_fenc)\n",
    "pde.set_ic(u, 0, x=x_fenc, y=y_fenc)\n",
    "pde.set_ic(v, 0, x=x_fenc, y=y_fenc)\n",
    "pde.sum_eq0(h.dt, (h * u).dx, (h * v).dy)\n",
    "pde.sum_eq0(u.dt, u * u.dx, v * u.dy, g * h.dx)\n",
    "pde.sum_eq0(v.dt, u * v.dx, v * v.dy, g * h.dy)\n",
    "pde_dag = pde.gen_dag(config)\n",
    "u_pred = infer_plot_2d(model, pde_dag, x_plot, y_plot, snap_t=np.linspace(0, 1, 4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
